subject:(3 manifolds)

Oklahoma State University

1. Chen, Lizhi. Systolic Freedom of 3-manifolds.

Degree: Mathematics, 2014, Oklahoma State University

► In this thesis, we study the Z2-coefficient homology (1, 2)-systolic freedom of 3-manifolds. In 1994, Bérard-Bergery and Katz proved the Z-coefficient homology (1, 2)-systolic freedom… (more)

Subjects/Keywords: 3-manifolds; semibundle; systolic freedom

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APA (6^th Edition):

Chen, L. (2014). Systolic Freedom of 3-manifolds. (Thesis). Oklahoma State University. Retrieved from http://hdl.handle.net/11244/14761

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Chen, Lizhi. “Systolic Freedom of 3-manifolds.” 2014. Thesis, Oklahoma State University. Accessed March 05, 2021. http://hdl.handle.net/11244/14761.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Chen, Lizhi. “Systolic Freedom of 3-manifolds.” 2014. Web. 05 Mar 2021.

Vancouver:

Chen L. Systolic Freedom of 3-manifolds. [Internet] [Thesis]. Oklahoma State University; 2014. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/11244/14761.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chen L. Systolic Freedom of 3-manifolds. [Thesis]. Oklahoma State University; 2014. Available from: http://hdl.handle.net/11244/14761

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Melbourne

2. Ramanayake, Don Buweneka Shanil. 0-efficient triangulations of Haken 3-manifolds.

Degree: 2015, University of Melbourne

URL: http://hdl.handle.net/11343/59325

► The thesis constructs 0–efficient triangulations for compact, irreducible, an-annular, orientable, atoroidal, Haken 3–manifolds that are closed or have torus boundary. The triangulations are dual to… (more)

Subjects/Keywords: efficient triangulations; 3-manifold triangulations; 3-manifold topology; Haken 3-manifolds

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APA (6^th Edition):

Ramanayake, D. B. S. (2015). 0-efficient triangulations of Haken 3-manifolds. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/59325

Chicago Manual of Style (16^th Edition):

Ramanayake, Don Buweneka Shanil. “0-efficient triangulations of Haken 3-manifolds.” 2015. Doctoral Dissertation, University of Melbourne. Accessed March 05, 2021. http://hdl.handle.net/11343/59325.

MLA Handbook (7^th Edition):

Ramanayake, Don Buweneka Shanil. “0-efficient triangulations of Haken 3-manifolds.” 2015. Web. 05 Mar 2021.

Vancouver:

Ramanayake DBS. 0-efficient triangulations of Haken 3-manifolds. [Internet] [Doctoral dissertation]. University of Melbourne; 2015. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/11343/59325.

Council of Science Editors:

Ramanayake DBS. 0-efficient triangulations of Haken 3-manifolds. [Doctoral Dissertation]. University of Melbourne; 2015. Available from: http://hdl.handle.net/11343/59325

Cornell University

3. Lam, Chor Hang. Homological Stability Of Diffeomorphism Groups Of 3-Manifolds.

Degree: PhD, Mathematics, 2015, Cornell University

URL: http://hdl.handle.net/1813/39311

► To study the homology of classifying spaces of diffeomorphism groups of compact, orientable 3-manifolds, we use the stabilization map that glues a prime 3-manifold, P… (more)

Subjects/Keywords: homological stability; diffeomorphism groups; 3-manifolds

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APA (6^th Edition):

Lam, C. H. (2015). Homological Stability Of Diffeomorphism Groups Of 3-Manifolds. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/39311

Chicago Manual of Style (16^th Edition):

Lam, Chor Hang. “Homological Stability Of Diffeomorphism Groups Of 3-Manifolds.” 2015. Doctoral Dissertation, Cornell University. Accessed March 05, 2021. http://hdl.handle.net/1813/39311.

MLA Handbook (7^th Edition):

Lam, Chor Hang. “Homological Stability Of Diffeomorphism Groups Of 3-Manifolds.” 2015. Web. 05 Mar 2021.

Vancouver:

Lam CH. Homological Stability Of Diffeomorphism Groups Of 3-Manifolds. [Internet] [Doctoral dissertation]. Cornell University; 2015. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/1813/39311.

Council of Science Editors:

Lam CH. Homological Stability Of Diffeomorphism Groups Of 3-Manifolds. [Doctoral Dissertation]. Cornell University; 2015. Available from: http://hdl.handle.net/1813/39311

University of Oxford

4. Wilkes, Gareth. Profinite properties of 3-manifold groups.

Degree: PhD, 2018, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748996

► In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properties of the groups and the properties of the 3-manifolds that… (more)

Subjects/Keywords: 516; Mathematics; Topology; Profinite groups; 3-Manifolds

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APA (6^th Edition):

Wilkes, G. (2018). Profinite properties of 3-manifold groups. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748996

Chicago Manual of Style (16^th Edition):

Wilkes, Gareth. “Profinite properties of 3-manifold groups.” 2018. Doctoral Dissertation, University of Oxford. Accessed March 05, 2021. http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748996.

MLA Handbook (7^th Edition):

Wilkes, Gareth. “Profinite properties of 3-manifold groups.” 2018. Web. 05 Mar 2021.

Vancouver:

Wilkes G. Profinite properties of 3-manifold groups. [Internet] [Doctoral dissertation]. University of Oxford; 2018. [cited 2021 Mar 05]. Available from: http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748996.

Council of Science Editors:

Wilkes G. Profinite properties of 3-manifold groups. [Doctoral Dissertation]. University of Oxford; 2018. Available from: http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748996

UCLA

5. Lin, Jianfeng. The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications.

Degree: Mathematics, 2016, UCLA

URL: http://www.escholarship.org/uc/item/8d29j4p4

► In this thesis, we define different versions of unfolded Seiberg-Witten Floer spectra for general 3-manifolds. They generalize Manolescu's and Kronheimer-Manolescu's construction of Floer stable homotopy… (more)

Subjects/Keywords: Mathematics; 3-dimensional manifolds; finite dimensisonal approximations; Seiberg-Witten Floer spectrum

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APA (6^th Edition):

Lin, J. (2016). The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/8d29j4p4

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lin, Jianfeng. “The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications.” 2016. Thesis, UCLA. Accessed March 05, 2021. http://www.escholarship.org/uc/item/8d29j4p4.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lin, Jianfeng. “The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications.” 2016. Web. 05 Mar 2021.

Vancouver:

Lin J. The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications. [Internet] [Thesis]. UCLA; 2016. [cited 2021 Mar 05]. Available from: http://www.escholarship.org/uc/item/8d29j4p4.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lin J. The unfolded Seiberg-Witten Floer spectrum: Definition, properties and applications. [Thesis]. UCLA; 2016. Available from: http://www.escholarship.org/uc/item/8d29j4p4

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Princeton University

6. Yazdi, Mehdi. On Thurston's Euler class one conjecture .

Degree: PhD, 2017, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01zg64tp54v

► In 1976, Thurston proved that taut foliations on closed hyperbolic 3-manifolds have Euler class of norm at most one, and conjectured that, conversely, any Euler… (more)

Subjects/Keywords: 3-manifolds; Euler class; low dimensional Topology; taut foliation; Thurston norm

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APA (6^th Edition):

Yazdi, M. (2017). On Thurston's Euler class one conjecture . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01zg64tp54v

Chicago Manual of Style (16^th Edition):

Yazdi, Mehdi. “On Thurston's Euler class one conjecture .” 2017. Doctoral Dissertation, Princeton University. Accessed March 05, 2021. http://arks.princeton.edu/ark:/88435/dsp01zg64tp54v.

MLA Handbook (7^th Edition):

Yazdi, Mehdi. “On Thurston's Euler class one conjecture .” 2017. Web. 05 Mar 2021.

Vancouver:

Yazdi M. On Thurston's Euler class one conjecture . [Internet] [Doctoral dissertation]. Princeton University; 2017. [cited 2021 Mar 05]. Available from: http://arks.princeton.edu/ark:/88435/dsp01zg64tp54v.

Council of Science Editors:

Yazdi M. On Thurston's Euler class one conjecture . [Doctoral Dissertation]. Princeton University; 2017. Available from: http://arks.princeton.edu/ark:/88435/dsp01zg64tp54v

Georgia Tech

7. Conway, James. Transverse surgery on knots in contact three-manifolds.

Degree: PhD, Mathematics, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/55563

► We study the effect of surgery on transverse knots in contact 3-manifolds by examining its effect on open books, the Heegaard Floer contact invariant, and… (more)

Subjects/Keywords: Contact geometry; Geometric topology; Knot theory; 3-manifolds; Topology; Geometry

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APA (6^th Edition):

Conway, J. (2016). Transverse surgery on knots in contact three-manifolds. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/55563

Chicago Manual of Style (16^th Edition):

Conway, James. “Transverse surgery on knots in contact three-manifolds.” 2016. Doctoral Dissertation, Georgia Tech. Accessed March 05, 2021. http://hdl.handle.net/1853/55563.

MLA Handbook (7^th Edition):

Conway, James. “Transverse surgery on knots in contact three-manifolds.” 2016. Web. 05 Mar 2021.

Vancouver:

Conway J. Transverse surgery on knots in contact three-manifolds. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/1853/55563.

Council of Science Editors:

Conway J. Transverse surgery on knots in contact three-manifolds. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/55563

Virginia Tech

8. Gartland, Christopher John. Cycle-Free Twisted Face-Pairing 3-Manifolds.

Degree: MS, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/48188

► In 2-dimensional topology, quotients of polygons by edge-pairings provide a rich source of examples of closed, connected, orientable surfaces. In fact, they provide all such… (more)

Subjects/Keywords: 3-manifolds; plumbing graphs; Seifert fibered spaces; face-pairings

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gartland, C. J. (2014). Cycle-Free Twisted Face-Pairing 3-Manifolds. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/48188

Chicago Manual of Style (16^th Edition):

Gartland, Christopher John. “Cycle-Free Twisted Face-Pairing 3-Manifolds.” 2014. Masters Thesis, Virginia Tech. Accessed March 05, 2021. http://hdl.handle.net/10919/48188.

MLA Handbook (7^th Edition):

Gartland, Christopher John. “Cycle-Free Twisted Face-Pairing 3-Manifolds.” 2014. Web. 05 Mar 2021.

Vancouver:

Gartland CJ. Cycle-Free Twisted Face-Pairing 3-Manifolds. [Internet] [Masters thesis]. Virginia Tech; 2014. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/10919/48188.

Council of Science Editors:

Gartland CJ. Cycle-Free Twisted Face-Pairing 3-Manifolds. [Masters Thesis]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/48188

Indian Institute of Science

9. Basak, Biplab. Minimal Crystallizations of 3- and 4- Manifolds.

Degree: PhD, Faculty of Science, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/3682

► A simplicial cell complex K is the face poset of a regular CW complex W such that the boundary complex of each cell is isomorphic… (more)

▼ A simplicial cell complex K is the face poset of a regular CW complex W such that the boundary complex of each cell is isomorphic to the boundary complex of a simplex of same dimension. If a topological space X is homeomorphic to W then we say that K is a pseudotriangulation of X. For d 1, a (d + 1)-colored graph is a graph = (V; E) with a proper edge coloring : E ! f0; : : : ; dg. Such a graph is called contracted if (V; E n 1(i)) is connected for each color A contracted graph = (V; E) with an edge coloring : E ! f0; : : : ; dg determines a d-dimensional simplicial cell complex K( ) whose vertices have one to one correspondence with the colors 0; : : : ; d and the facets (d-cells) have one to one correspondence with the vertices in V . If K( ) is a pseudotriangulation of a manifold M then ( ; ) is called a crystallization of M. In [71], Pezzana proved that every connected closed PL manifold admits a crystallization. This thesis addresses many important results of crystallization theory in combinatorial topology. The main contributions in this thesis are the followings. We have introduced the weight of a group which has a presentation with number of relations is at most the number of generators. We have shown that the number of vertices of any crystallization of a connected closed 3-manifold M is at least the weight of the fundamental group of M. This lower bound is sharp for the 3-manifolds RP3, L(3; 1), L(5; 2), S1 S1 S1, S2 S1, S2 S1 and S3=Q8, where Q8 is the quaternion group. Moreover, there is a unique such vertex minimal crystallization in each of these seven cases. We have also constructed crystallizations of L(kq 1; q) with 4(q + k 1) vertices for q 3, k 2 and L(kq +1; q) with 4(q + k) vertices for q 4, k 1. In [22], Casali and Cristofori found similar crystallizations of lens spaces. By a recent result of Swartz [76], our crystallizations of L(kq + 1; q) are vertex minimal when kq + 1 are even. In [47], Gagliardi found presentations of the fundamental group of a manifold M in terms of a crystallization of M. Our construction is the converse of this, namely, given a presentation of the fundamental group of a 3-manifold M, we have constructed a crystallization of M. These results are in Chapter 3. We have de ned the weight of the pair (hS j Ri; R) for a given presentation hS j R of a group, where the number of generators is equal to the number of relations. We present an algorithm to construct crystallizations of 3-manifolds whose fundamental group has a presentation with two generators and two relations. If the weight of (hS j Ri; R) is n then our algorithm constructs all the n-vertex crystallizations which yield (hS j Ri; R). As an application, we have constructed some new crystallization of 3-manifolds. We have generalized our algorithm for presentations with three generators and a certain class of relations. For m 3 and m n k 2, our generalized algorithm gives a 2(2m + 2n + 2k 6 + n2 + k2)-vertex crystallization of the closed connected orientable 3-manifold Mhm; n; ki having fundamental group hx1;… Advisors/Committee Members: Datta, Basudeb (advisor).

Subjects/Keywords: Manifolds (Mathematics); Crystalizations; Colored Graphs; Lens Spaces; Geometric Topology; Manifold Crystallization; Pseudotriangulations; 3-Manifolds; 4-Manifolds; Combinatorics; Binary Polyhedral Group; Quaternion Spaces; Mathematics

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APA (6^th Edition):

Basak, B. (2018). Minimal Crystallizations of 3- and 4- Manifolds. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3682

Chicago Manual of Style (16^th Edition):

Basak, Biplab. “Minimal Crystallizations of 3- and 4- Manifolds.” 2018. Doctoral Dissertation, Indian Institute of Science. Accessed March 05, 2021. http://etd.iisc.ac.in/handle/2005/3682.

MLA Handbook (7^th Edition):

Basak, Biplab. “Minimal Crystallizations of 3- and 4- Manifolds.” 2018. Web. 05 Mar 2021.

Vancouver:

Basak B. Minimal Crystallizations of 3- and 4- Manifolds. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2018. [cited 2021 Mar 05]. Available from: http://etd.iisc.ac.in/handle/2005/3682.

Council of Science Editors:

Basak B. Minimal Crystallizations of 3- and 4- Manifolds. [Doctoral Dissertation]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3682

Virginia Tech

10. Ackermann, Robert James. Constructing Bitwisted Face Pairing 3-Manifolds.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32655

► The bitwist construction, originally discovered by Cannon, Floyd, and Parry, gives us a new method for finding face pairing descriptions of 3-manifolds. In this paper,… (more)

Subjects/Keywords: Bitwisted 3-manifolds; Twisted 3-manifolds; Dehn Surgery; face pairings

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ackermann, R. J. (2008). Constructing Bitwisted Face Pairing 3-Manifolds. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32655

Chicago Manual of Style (16^th Edition):

Ackermann, Robert James. “Constructing Bitwisted Face Pairing 3-Manifolds.” 2008. Masters Thesis, Virginia Tech. Accessed March 05, 2021. http://hdl.handle.net/10919/32655.

MLA Handbook (7^th Edition):

Ackermann, Robert James. “Constructing Bitwisted Face Pairing 3-Manifolds.” 2008. Web. 05 Mar 2021.

Vancouver:

Ackermann RJ. Constructing Bitwisted Face Pairing 3-Manifolds. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/10919/32655.

Council of Science Editors:

Ackermann RJ. Constructing Bitwisted Face Pairing 3-Manifolds. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32655

11. Teixeira, Aline de Moraes. Subvariedades de ângulo constante em 3-variedades homogêneas.

Degree: Mestrado, Matemática, 2015, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11082015-162322/ ;

►

Um resultado clássico enunciado por M.A. Lancret em 1802 e provado por B. de Saint Venant em 1845 é: uma condição necessária e suficiente para… (more)

▼

Um resultado clássico enunciado por M.A. Lancret em 1802 e provado por B. de Saint Venant em 1845 é: uma condição necessária e suficiente para que uma curva forme um ângulo constante com respeito a um campo de Killing unitário de R3 é que a razão entre a curvatura e a torção seja constante. Curvas deste tipo são chamadas hélices generalizadas. O problema de Lancret-de Saint Venant foi generalizado para curvas em outras variedades de dimensão três como, por exemplo, as formas espaciais e os grupos de Lie. Outra maneira de generalizar o estudo anterior é passar de curvas para superfícies, ou seja estudar as superfícies orientadas de 3-variedades Riemannianas cuja normal unitária faz um ângulo constante com certos campos de vetores privilegiados do espaço ambiente. Nesta dissertação estudaremos os resultados obtidos em [16, 24, 26, 27] sobre a classificação de curvas e superfícies de ângulo constante nas seguintes 3-variedades homogêneas: R3, o grupo de Heisenberg tridimensional e as esferas de Berger.

A classical result stated by M.A. Lancret in 1802 and first proved by B. de Saint Venant in 1845 is: a necessary and sufficient condition in order to a curve makes a constant angle with respect a unit Killing vector field of R3 is that the ratio of curvature to torsion be constant. Such curves are called general helix. The problem of Lancret-de Saint Venant has been generalized to curves in other three-dimensional manifolds as, for example, the space forms and the Lie groups. Another way to generalize the previous study is to pass from curves to surfaces, i.e. to study the oriented surfaces of Riemannian 3-manifolds for which the unit normal makes a constant angle with favored vector fields of the ambient space. In this dissertation we will study the results obtained in [16, 24, 26, 27] about the classification of constant angle curves and surfaces in the following homogeneous 3-manifolds: R3, the three-dimensional Heisenberg group and the Berger sphere.

Advisors/Committee Members: Onnis, Irene Ignazia.

Subjects/Keywords: Constant angle surfaces; Homogeneous 3-manifolds; Superfícies de ângulo constante; Variedades homogêneas

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APA (6^th Edition):

Teixeira, A. d. M. (2015). Subvariedades de ângulo constante em 3-variedades homogêneas. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11082015-162322/ ;

Chicago Manual of Style (16^th Edition):

Teixeira, Aline de Moraes. “Subvariedades de ângulo constante em 3-variedades homogêneas.” 2015. Masters Thesis, University of São Paulo. Accessed March 05, 2021. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11082015-162322/ ;.

MLA Handbook (7^th Edition):

Teixeira, Aline de Moraes. “Subvariedades de ângulo constante em 3-variedades homogêneas.” 2015. Web. 05 Mar 2021.

Vancouver:

Teixeira AdM. Subvariedades de ângulo constante em 3-variedades homogêneas. [Internet] [Masters thesis]. University of São Paulo; 2015. [cited 2021 Mar 05]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11082015-162322/ ;.

Council of Science Editors:

Teixeira AdM. Subvariedades de ângulo constante em 3-variedades homogêneas. [Masters Thesis]. University of São Paulo; 2015. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11082015-162322/ ;

Brigham Young University

12. Burton, Stephan Daniel. Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds.

Degree: MS, 2012, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4306&context=etd

► Adams conjectured that unknotting tunnels of tunnel number 1 manifolds are always isotopic to a geodesic. We generalize this question to tunnel number n… (more)

Subjects/Keywords: Hyperbolic Geometry; Hyperbolic 3-manifolds; Unknotting Tunnel; Ford Domain; Knot Theory; Mathematics

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APA (6^th Edition):

Burton, S. D. (2012). Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4306&context=etd

Chicago Manual of Style (16^th Edition):

Burton, Stephan Daniel. “Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds.” 2012. Masters Thesis, Brigham Young University. Accessed March 05, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4306&context=etd.

MLA Handbook (7^th Edition):

Burton, Stephan Daniel. “Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds.” 2012. Web. 05 Mar 2021.

Vancouver:

Burton SD. Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds. [Internet] [Masters thesis]. Brigham Young University; 2012. [cited 2021 Mar 05]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4306&context=etd.

Council of Science Editors:

Burton SD. Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds. [Masters Thesis]. Brigham Young University; 2012. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4306&context=etd

Brigham Young University

13. Meilstrup, Mark H. Wild Low-Dimensional Topology and Dynamics.

Degree: PhD, 2010, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3202&context=etd

► In this dissertation we discuss various results for spaces that are wild, i.e. not locally simply connected. We first discuss periodic properties of maps… (more)

Subjects/Keywords: Sharkovskii's Theorem; periodic points; solenoids; 3-manifolds; fundamental group; Peano continua; homotopy invariants; Mathematics

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APA (6^th Edition):

Meilstrup, M. H. (2010). Wild Low-Dimensional Topology and Dynamics. (Doctoral Dissertation). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3202&context=etd

Chicago Manual of Style (16^th Edition):

Meilstrup, Mark H. “Wild Low-Dimensional Topology and Dynamics.” 2010. Doctoral Dissertation, Brigham Young University. Accessed March 05, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3202&context=etd.

MLA Handbook (7^th Edition):

Meilstrup, Mark H. “Wild Low-Dimensional Topology and Dynamics.” 2010. Web. 05 Mar 2021.

Vancouver:

Meilstrup MH. Wild Low-Dimensional Topology and Dynamics. [Internet] [Doctoral dissertation]. Brigham Young University; 2010. [cited 2021 Mar 05]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3202&context=etd.

Council of Science Editors:

Meilstrup MH. Wild Low-Dimensional Topology and Dynamics. [Doctoral Dissertation]. Brigham Young University; 2010. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3202&context=etd

Brigham Young University

14. Lambert, Lee R. A Toolkit for the Construction and Understanding of 3-Manifolds.

Degree: PhD, 2010, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3187&context=etd

► Since our world is experienced locally in three-dimensional space, students of mathematics struggle to visualize and understand objects which do not fit into three-dimensional… (more)

Subjects/Keywords: Twist construction; bitwist construction; 3-manifolds; Dehn surgery; Heegaard splitting; Heegaard diagram; Mathematics

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APA (6^th Edition):

Lambert, L. R. (2010). A Toolkit for the Construction and Understanding of 3-Manifolds. (Doctoral Dissertation). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3187&context=etd

Chicago Manual of Style (16^th Edition):

Lambert, Lee R. “A Toolkit for the Construction and Understanding of 3-Manifolds.” 2010. Doctoral Dissertation, Brigham Young University. Accessed March 05, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3187&context=etd.

MLA Handbook (7^th Edition):

Lambert, Lee R. “A Toolkit for the Construction and Understanding of 3-Manifolds.” 2010. Web. 05 Mar 2021.

Vancouver:

Lambert LR. A Toolkit for the Construction and Understanding of 3-Manifolds. [Internet] [Doctoral dissertation]. Brigham Young University; 2010. [cited 2021 Mar 05]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3187&context=etd.

Council of Science Editors:

Lambert LR. A Toolkit for the Construction and Understanding of 3-Manifolds. [Doctoral Dissertation]. Brigham Young University; 2010. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3187&context=etd

Princeton University

15. Kotelskiy, Artem. Bordered invariants in low-dimensional topology.

Degree: PhD, 2018, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01f7623g284

► In this thesis we present two projects. In the ﬁrst project, which covers Chapters 2 and 3, we construct an algebraic version of Lagrangian Floer… (more)

Subjects/Keywords: 3-manifolds; bordered Heegaard Floer theory; Fukaya category; invariants; knots; low-dimensional topology

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APA (6^th Edition):

Kotelskiy, A. (2018). Bordered invariants in low-dimensional topology. (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01f7623g284

Chicago Manual of Style (16^th Edition):

Kotelskiy, Artem. “Bordered invariants in low-dimensional topology. ” 2018. Doctoral Dissertation, Princeton University. Accessed March 05, 2021. http://arks.princeton.edu/ark:/88435/dsp01f7623g284.

MLA Handbook (7^th Edition):

Kotelskiy, Artem. “Bordered invariants in low-dimensional topology. ” 2018. Web. 05 Mar 2021.

Vancouver:

Kotelskiy A. Bordered invariants in low-dimensional topology. [Internet] [Doctoral dissertation]. Princeton University; 2018. [cited 2021 Mar 05]. Available from: http://arks.princeton.edu/ark:/88435/dsp01f7623g284.

Council of Science Editors:

Kotelskiy A. Bordered invariants in low-dimensional topology. [Doctoral Dissertation]. Princeton University; 2018. Available from: http://arks.princeton.edu/ark:/88435/dsp01f7623g284

Boston College

16. Krishna, Siddhi. Taut foliations, positive braids, and the L-space conjecture.

Degree: PhD, Mathematics, 2020, Boston College

URL: http://dlib.bc.edu/islandora/object/bc-ir:108731

► We construct taut foliations in every closed 3-manifold obtained by r-framed Dehn surgery along a positive 3-braid knot K in S³, where r < 2g(K)-1… (more)

Subjects/Keywords: 3-manifolds; Dehn surgery; geometric topology; knots and links; low-dimensional topology; taut foliations

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APA (6^th Edition):

Krishna, S. (2020). Taut foliations, positive braids, and the L-space conjecture. (Doctoral Dissertation). Boston College. Retrieved from http://dlib.bc.edu/islandora/object/bc-ir:108731

Chicago Manual of Style (16^th Edition):

Krishna, Siddhi. “Taut foliations, positive braids, and the L-space conjecture.” 2020. Doctoral Dissertation, Boston College. Accessed March 05, 2021. http://dlib.bc.edu/islandora/object/bc-ir:108731.

MLA Handbook (7^th Edition):

Krishna, Siddhi. “Taut foliations, positive braids, and the L-space conjecture.” 2020. Web. 05 Mar 2021.

Vancouver:

Krishna S. Taut foliations, positive braids, and the L-space conjecture. [Internet] [Doctoral dissertation]. Boston College; 2020. [cited 2021 Mar 05]. Available from: http://dlib.bc.edu/islandora/object/bc-ir:108731.

Council of Science Editors:

Krishna S. Taut foliations, positive braids, and the L-space conjecture. [Doctoral Dissertation]. Boston College; 2020. Available from: http://dlib.bc.edu/islandora/object/bc-ir:108731

Massey University

17. Zhang, Qingxiang. Two elliptic generator Kleinian groups.

Degree: PhD, Mathematics, 2010, Massey University

URL: http://hdl.handle.net/10179/2044

► This thesis studies the discreteness of Kleinian groups and the geometry of their associated orbit spaces: hyperbolic 3-manifolds and 3-orbifolds. Thurston's geometrization theorem states that… (more)

▼ This thesis studies the discreteness of Kleinian groups and the geometry of their associated orbit spaces: hyperbolic 3-manifolds and 3-orbifolds. Thurston's geometrization theorem states that the interior of every compact 3-manifold can be decomposed into pieces which have geometric structures. Most of these pieces have hyperbolic structures. Every hyperbolic 3-manifold can be described as H3=G, where H3 is the 3-dimensional hyperbolic space and G is a torsion free Kleinian group. The compact 3-manifolds other than hyperbolic 3-manifolds have been classified. Therefore the study of Kleinian groups holds the key to understanding 3-manifolds in general. We investigate various conditions for determining the discreteness of a Kleinian group. Such a group is discrete if and only if all its two generator subgroups are discrete, thus we study the question of discreteness through two generator groups. Here we consider Kleinian groups generated by two elements of finite order. Once the order of these generators is fixed, these groups lie in a one complex-dimensional parameter space with a highly fractal boundary. Computational investigations of various types into the size and structure of this parameter space form an integral part of this thesis. In particular an analysis of Dehn surgery on 2-bridge knots and links gives us data indicating the boundary of the parameter space "internally" analogous to the boundary in the Riley slice (the parabolic case). We then investigate this boundary "externally" and numerically using the rational pleating rays and rational words, which were developed by Keen and Series to study the Riley slice boundary. We are then able to identify some boundary points via the interplay between algebraic and geometric convergence of sequences of Kleinian groups. We find an interesting connection between Conway's notation for 2-bridge knots and links and rational words. We then apply these descriptions of parameter spaces to advance the identification problem for two generator arithmetic Kleinian groups, in fact we give a conjecturally complete list of certain families of such groups that were previously identified as being the most difficult cases.

Subjects/Keywords: Kleinian groups; Hyperbolic 3-manifolds and 3-orbifolds

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APA (6^th Edition):

Zhang, Q. (2010). Two elliptic generator Kleinian groups. (Doctoral Dissertation). Massey University. Retrieved from http://hdl.handle.net/10179/2044

Chicago Manual of Style (16^th Edition):

Zhang, Qingxiang. “Two elliptic generator Kleinian groups.” 2010. Doctoral Dissertation, Massey University. Accessed March 05, 2021. http://hdl.handle.net/10179/2044.

MLA Handbook (7^th Edition):

Zhang, Qingxiang. “Two elliptic generator Kleinian groups.” 2010. Web. 05 Mar 2021.

Vancouver:

Zhang Q. Two elliptic generator Kleinian groups. [Internet] [Doctoral dissertation]. Massey University; 2010. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/10179/2044.

Council of Science Editors:

Zhang Q. Two elliptic generator Kleinian groups. [Doctoral Dissertation]. Massey University; 2010. Available from: http://hdl.handle.net/10179/2044

18. Didier Lins, Lauro. BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces .

Degree: 2007, Universidade Federal de Pernambuco

URL: http://repositorio.ufpe.br/handle/123456789/7085

► Um blink é um grafo plano onde cada aresta ou é vermelha ou é verde. Um espaço 3D ou, simplesmente, um espaço é uma variedade… (more)

Subjects/Keywords: Topology; Closed connected oriented 3-manifolds; Plane graphs; Spaces; Graph encoded manifolds

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APA (6^th Edition):

Didier Lins, L. (2007). BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces . (Thesis). Universidade Federal de Pernambuco. Retrieved from http://repositorio.ufpe.br/handle/123456789/7085

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Didier Lins, Lauro. “BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces .” 2007. Thesis, Universidade Federal de Pernambuco. Accessed March 05, 2021. http://repositorio.ufpe.br/handle/123456789/7085.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Didier Lins, Lauro. “BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces .” 2007. Web. 05 Mar 2021.

Vancouver:

Didier Lins L. BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces . [Internet] [Thesis]. Universidade Federal de Pernambuco; 2007. [cited 2021 Mar 05]. Available from: http://repositorio.ufpe.br/handle/123456789/7085.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Didier Lins L. BLINK : a language to view; Recognize; Classify and manipulate 3D-spaces . [Thesis]. Universidade Federal de Pernambuco; 2007. Available from: http://repositorio.ufpe.br/handle/123456789/7085

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Liu, Yi. Nonzero degree maps between three dimensional manifolds.

Degree: Mathematics, 2012, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/0jj5791w

► The main result of this dissertation shows that every orientable closed 3-manifold admits a nonzero degree map onto at most finitely many homeomorphically distinct non-geometric… (more)

Subjects/Keywords: Mathematics; 3-manifolds; nonzero degree maps

…guidance in these years. He led me into the world of 3-manifolds, and shared all his ideas during… …finiteness associated with nonzero degree maps between 3-manifolds, from the viewpoint of… …geometrization. For convenience, we often stay in the piecewise linear category of 3-manifolds for… …orientable closed 3-manifolds. For an integer d > 0, we say that M d-dominates N if there is a map… …from the essential case of closed 3-manifolds, so we shall not consider dominations relative…

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APA (6^th Edition):

Liu, Y. (2012). Nonzero degree maps between three dimensional manifolds. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/0jj5791w

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Liu, Yi. “Nonzero degree maps between three dimensional manifolds.” 2012. Thesis, University of California – Berkeley. Accessed March 05, 2021. http://www.escholarship.org/uc/item/0jj5791w.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Liu, Yi. “Nonzero degree maps between three dimensional manifolds.” 2012. Web. 05 Mar 2021.

Vancouver:

Liu Y. Nonzero degree maps between three dimensional manifolds. [Internet] [Thesis]. University of California – Berkeley; 2012. [cited 2021 Mar 05]. Available from: http://www.escholarship.org/uc/item/0jj5791w.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liu Y. Nonzero degree maps between three dimensional manifolds. [Thesis]. University of California – Berkeley; 2012. Available from: http://www.escholarship.org/uc/item/0jj5791w

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

20. Lee, Michelle Dongeun. Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/94050

► Let M be a compact orientable hyperbolizable 3-manifold. In this thesis we study the action of the group of outer automorphisms of the fundamental group… (more)

Subjects/Keywords: Character Varieties; Hyperbolic 3-manifolds; Mathematics; Science

…generalization of Teichm¨ uller space to hyperbolic 3-manifolds, namely when π is the fundamental group… …3-manifolds homotopy equivalent to M . The deformation space AH(M ) is well… …hyperbolic 3-manifolds: twisted interval bundles and compression bodies. 1.1 Main Results In… …II we review some well-known theory of hyperbolic 3-manifolds and prove some elementary but… …Section 2.1, we review the background material on hyperbolic 3-manifolds that we will need (…

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APA (6^th Edition):

Lee, M. D. (2012). Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/94050

Chicago Manual of Style (16^th Edition):

Lee, Michelle Dongeun. “Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds.” 2012. Doctoral Dissertation, University of Michigan. Accessed March 05, 2021. http://hdl.handle.net/2027.42/94050.

MLA Handbook (7^th Edition):

Lee, Michelle Dongeun. “Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds.” 2012. Web. 05 Mar 2021.

Vancouver:

Lee MD. Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/2027.42/94050.

Council of Science Editors:

Lee MD. Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/94050

21. Renardy, David. Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133206

► Let M be a compact, hyperbolizable 3-manifold with boundary and let AH(M) denote the space of discrete faithful representations of the fundamental group of M… (more)

Subjects/Keywords: Kleinian Groups; Hyperbolic 3-manifolds; Mathematics; Science

…hyperbolic 3-manifolds except for finitely many choices of p and q. We make use of the Hyperbolic… …toroidal component in its boundary. We use hyperbolic Dehn filling to construct 3-manifolds Mn0… …guarantees that all ρ in AH(M ) yield hyperbolic 3-manifolds homeomorphic to the interior… …incompressible boundary 3-manifolds. We also give some other indications as to the complexity of the… …x29; is uniformized by Γ. Thurston conjectured in the 1970’s that all compact 3-manifolds…

4 more images…

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APA (6^th Edition):

Renardy, D. (2016). Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133206

Chicago Manual of Style (16^th Edition):

Renardy, David. “Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary.” 2016. Doctoral Dissertation, University of Michigan. Accessed March 05, 2021. http://hdl.handle.net/2027.42/133206.

MLA Handbook (7^th Edition):

Renardy, David. “Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary.” 2016. Web. 05 Mar 2021.

Vancouver:

Renardy D. Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/2027.42/133206.

Council of Science Editors:

Renardy D. Bumping in the Deformation Spaces of Hyperbolic 3-Manifolds with Compressible Boundary. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133206

University of Colorado

22. Olikara, Zubin Philip. Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques.

Degree: PhD, Aerospace Engineering Sciences, 2016, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/144

► Many astrodynamical systems exhibit both ordered and chaotic motion. The invariant manifold structure organizes these behaviors and is a valuable tool for the design of… (more)

Subjects/Keywords: Gauss-Legendre collocation; heteroclinic connections; invariant manifolds; quasi-periodic orbits; restricted 3-body problem; spacecraft trajectory design; Aerospace Engineering; Applied Mathematics

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APA (6^th Edition):

Olikara, Z. P. (2016). Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/144

Chicago Manual of Style (16^th Edition):

Olikara, Zubin Philip. “Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques.” 2016. Doctoral Dissertation, University of Colorado. Accessed March 05, 2021. https://scholar.colorado.edu/asen_gradetds/144.

MLA Handbook (7^th Edition):

Olikara, Zubin Philip. “Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques.” 2016. Web. 05 Mar 2021.

Vancouver:

Olikara ZP. Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2021 Mar 05]. Available from: https://scholar.colorado.edu/asen_gradetds/144.

Council of Science Editors:

Olikara ZP. Computation of Quasi-Periodic Tori and Heteroclinic Connections in Astrodynamics Using Collocation Techniques. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/asen_gradetds/144

23. Oliveira, Iury Rafael Domingos de. Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds.

Degree: Docteur es, Mathématiques, 2020, Université de Lorraine; Universidade Federal de Alagoas

URL: http://www.theses.fr/2020LORR0057

►

L'objectif de cette thèse est d'étudier les surfaces à courbure moyenne constante dans des variétés homogènes de dimension 3 avec un groupe d'isométries de dimension… (more)

▼

L'objectif de cette thèse est d'étudier les surfaces à courbure moyenne constante dans des variétés homogènes de dimension 3 avec un groupe d'isométries de dimension 4. Dans la première partie de cette thèse, nous étudions les surfaces à courbure moyenne constante dans les variétés produites 𝕊² × ℝ et ℍ² × ℝ. Comme résultat principal, nous établissons une classification locale pour les surfaces à courbure moyenne constante et courbure intrinsèque constante dans ces espaces. Dans cette classification, nous présentons un nouvel exemple de surface à courbure moyenne constante et courbure intrinsèque constante dans ℍ² × ℝ. En conséquence, nous utilisons la correspondence des surfaces soeurs pour classifier les surfaces à courbure moyenne constante et courbure intrinsèque constante dans les autres variétés homogènes de dimension 3 avec un groupe d'isométries de dimension 4, et donc sous ces conditions des nouveaux examples apparaissent dans \widetilde{{PSL}}₂(ℝ). Nous consacrons la deuxième partie de cette thèse à l'étude des surfaces minimales dans 𝕊² × ℝ. À cet effet, nous définissons une nouvelle application de Gauss pour ces surfaces, en utilisant le modèle de 𝕊² × ℝ qui est isométrique à ℝ³\setminus{0}, muni d'une métrique conformément équivalente à la métrique de l'espace euclidien ℝ³. Comme résultat principal, nous montrons que deux immersions minimales conformes quelconques en 𝕊² × ℝ, avec la même application de Gauss non-constante, ne diffèrent que par des isométries de 𝕊² × ℝ de deux types particuliers. De plus, si l'application de Gauss est singulière, nous montrons que cette application est forcément constante, et donc, la surface est un cylindre vertical sur une géodésique de 𝕊² dans 𝕊² × ℝ. Nous étudions également quelques cas particuliers, et, parmi eux, nous prouvons qu'il n'existe pas d'immersion minimale conforme dans 𝕊² × ℝ telle que l'application de Gauss soit non-constante et anti-holomorphe.

The goal of this thesis is to study constant mean curvature surfaces into homogeneous 3-manifolds with 4-dimensional isometry group. In the first part of this thesis, we study constant mean curvature surfaces in the product manifolds 𝕊² × ℝ and ℍ² × ℝ. As a main result, we establish a local classification for constant mean curvature surfaces with constant intrinsic curvature in these spaces. In this classification, we present a new example of constant mean curvature surfaces with constant intrinsic curvature in ℍ² × ℝ. As a consequence, we use the sister surface correspondence to classify the constant mean curvature surfaces with constant intrinsic curvature in the others homogeneous 3-manifolds with 4-dimensional isometry group, and then new examples with these conditions arise in…

Advisors/Committee Members: Daniel, Benoît (thesis director), Vitório, Feliciano (thesis director).

Subjects/Keywords: Immersions isométriques; Surfaces à courbure moyenne constante; Variétés homogènes de dimension 3; Isometric immersions; Constant mean curvature surfaces; Homogeneous 3-manifolds; 516.36

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APA (6^th Edition):

Oliveira, I. R. D. d. (2020). Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds. (Doctoral Dissertation). Université de Lorraine; Universidade Federal de Alagoas. Retrieved from http://www.theses.fr/2020LORR0057

Chicago Manual of Style (16^th Edition):

Oliveira, Iury Rafael Domingos de. “Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds.” 2020. Doctoral Dissertation, Université de Lorraine; Universidade Federal de Alagoas. Accessed March 05, 2021. http://www.theses.fr/2020LORR0057.

MLA Handbook (7^th Edition):

Oliveira, Iury Rafael Domingos de. “Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds.” 2020. Web. 05 Mar 2021.

Vancouver:

Oliveira IRDd. Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds. [Internet] [Doctoral dissertation]. Université de Lorraine; Universidade Federal de Alagoas; 2020. [cited 2021 Mar 05]. Available from: http://www.theses.fr/2020LORR0057.

Council of Science Editors:

Oliveira IRDd. Surfaces à courbure moyenne constante dans les variétés homogènes : Constant mean curvature surfaces into homogeneous manifolds. [Doctoral Dissertation]. Université de Lorraine; Universidade Federal de Alagoas; 2020. Available from: http://www.theses.fr/2020LORR0057

24. Rodríguez Migueles, José Andrés. Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements.

Degree: Docteur es, Mathématiques et leurs interactions, 2018, Rennes 1

URL: http://www.theses.fr/2018REN1S021

►

Grâce au théorème d'hyperbolisation, nous savons précisément quand une variété de dimension trois compacte admet une métrique hyperbolique. Par ailleurs, d'après le théorème de rigidité… (more)

▼

Grâce au théorème d'hyperbolisation, nous savons précisément quand une variété de dimension trois compacte admet une métrique hyperbolique. Par ailleurs, d'après le théorème de rigidité de Mostow, cette structure géométrique est unique. Cependant, trouver des liens pratiques entre la géométrie et la topologie est un problème difficile. La plupart des résultats décrits dans cette thèse visent à concrétiser ces liens. Toute géodésique fermée orientée dans une surface hyperbolique admet un relèvement canonique dans le fibré tangent unitaire de la surface, et on peut donc le voir comme un nœud dans une variété de dimension trois. Les extérieurs des nœuds ainsi construits admettent une structure hyperbolique. Cette thèse a pour objet d'estimer le volume des extérieurs des relèvements canoniques. Pour toute surface hyperbolique on construit une suite de géodésique sur la surface, tel que les extérieurs associées ne sont pas homéomorphes entre elles et dont la suite des volumes respectifs est bornée. Aussi on minore le volume de l'extérieur à l'aide d'un réel explicite qui décrit une relation entre la géodésique et une décomposition en pantalons de la surface. Ceci donne une méthode pour construire une suite de géodésiques dont les volumes des extérieurs associées sont minorées en termes de la longueur de la géodésique correspondant. Dans le cas particulier de la surface modulaire, on obtient des estimations du volume de l'extérieur en termes de la période de la fraction continue associée à la géodésique.

Due to the Hyperbolization Theorem, we know precisely when does a given compact three dimensional manifold admits a hyperbolic metric. Moreover, by the Mostow's Rigidity Theorem this geometric structure is unique. However, finding effective and computable connections between the geometry and topology is a challenging problem. Most of the results on this thesis fit into the theme of making the connections more concrete. To every oriented closed geodesic on a hyperbolic surface has a canonical lift on the unit tangent bundle of the surface, and we can see it as a knot in a three dimensional manifold. The knot complement given in this way has a hyperbolic structure. The objective of this thesis is to estimate the volume of the canonical lift complement. For every hyperbolic surface we give a sequence of geodesics on the surface, such that the knot complements associated are not homeomorphic with each other and the sequence of the corresponding volumes is bounded. We also give a lower bound of the volume of the canonical lift complement by an explicit real number which describes a relation between the geodesic and a pants decomposition of the surface. This give us a method to construct a sequence of geodesics where the volume of the associated knot complements is bounded from below in terms of the length of the corresponding geodesic. For the particular case of the modular surface, we obtain estimations for the volume of the canonical lift complement in terms of the period of the continuous fraction expansion of the…

Advisors/Committee Members: Souto Clément, Juan (thesis director).

Subjects/Keywords: Flot géodésique; 3-Variétés; Volume; Extérieur de nœud; Géométrie hyperbolique; Fraction continue; Geodesic flow; 3-Manifolds, volume; Knot complement; Hyperbolic geometry; Continuous fraction

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Rodríguez Migueles, J. A. (2018). Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements. (Doctoral Dissertation). Rennes 1. Retrieved from http://www.theses.fr/2018REN1S021

Chicago Manual of Style (16^th Edition):

Rodríguez Migueles, José Andrés. “Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements.” 2018. Doctoral Dissertation, Rennes 1. Accessed March 05, 2021. http://www.theses.fr/2018REN1S021.

MLA Handbook (7^th Edition):

Rodríguez Migueles, José Andrés. “Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements.” 2018. Web. 05 Mar 2021.

Vancouver:

Rodríguez Migueles JA. Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements. [Internet] [Doctoral dissertation]. Rennes 1; 2018. [cited 2021 Mar 05]. Available from: http://www.theses.fr/2018REN1S021.

Council of Science Editors:

Rodríguez Migueles JA. Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds : Geodesics on hyperbolic surfaces and knot complements. [Doctoral Dissertation]. Rennes 1; 2018. Available from: http://www.theses.fr/2018REN1S021

25. Magid, Aaron D. Deformation Spaces of Kleinian Surface Groups are not Locally Connected.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63689

► For any closed surface S of genus g at least 2, we show that the deformation space of marked hyperbolic 3-manifolds homotopy equivalent to S,… (more)

Subjects/Keywords: Deformation Spaces of Hyperbolic 3-manifolds; Mathematics; Science

…the argument. 80 5.3 Some of the pared manifolds we are using (illustrated in genus 3… …space of marked hyperbolic 3-manifolds homotopy equivalent to S, AH(S × I), is not… …Understanding and classifying 3-manifolds has been a major focus of topology during the past century… …topology of N. Thus it is natural to consider the set of marked hyperbolic 3-manifolds homotopy… …the marked homeomorphism types of compact 3-manifolds homotopy equivalent to N. Using the…

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APA (6^th Edition):

Magid, A. D. (2009). Deformation Spaces of Kleinian Surface Groups are not Locally Connected. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63689

Chicago Manual of Style (16^th Edition):

Magid, Aaron D. “Deformation Spaces of Kleinian Surface Groups are not Locally Connected.” 2009. Doctoral Dissertation, University of Michigan. Accessed March 05, 2021. http://hdl.handle.net/2027.42/63689.

MLA Handbook (7^th Edition):

Magid, Aaron D. “Deformation Spaces of Kleinian Surface Groups are not Locally Connected.” 2009. Web. 05 Mar 2021.

Vancouver:

Magid AD. Deformation Spaces of Kleinian Surface Groups are not Locally Connected. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/2027.42/63689.

Council of Science Editors:

Magid AD. Deformation Spaces of Kleinian Surface Groups are not Locally Connected. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63689

26. Schirmer, Trenton Frederick. Two varieties of tunnel number subadditivity.

Degree: PhD, Mathematics, 2012, University of Iowa

URL: https://ir.uiowa.edu/etd/3379

► Knot theory and 3-manifold topology are closely intertwined, and few invariants stand so firmly in the intersection of these two subjects as the tunnel… (more)

Subjects/Keywords: 3-Manifolds; Heegaard splittings; Knots; Topology; Tunnel Number; Mathematics

…1 CHAPTER 1 INTRODUCTION Knot theory and the theory of 3-manifolds are closely… …classic Dehn-Lickorish-Wallace theorem which says that all closed 3-manifolds can be obtained… …constructing and describing 3-manifolds. The study of Dehn fillings and link surgery diagrams has… …from the fact that they allow a gateway to 3-manifolds for powerful algebraic and… …theorem discussed above. Some classical results on the Heegaard structure of 3-manifolds include…

4 more images…

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APA (6^th Edition):

Schirmer, T. F. (2012). Two varieties of tunnel number subadditivity. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/3379

Chicago Manual of Style (16^th Edition):

Schirmer, Trenton Frederick. “Two varieties of tunnel number subadditivity.” 2012. Doctoral Dissertation, University of Iowa. Accessed March 05, 2021. https://ir.uiowa.edu/etd/3379.

MLA Handbook (7^th Edition):

Schirmer, Trenton Frederick. “Two varieties of tunnel number subadditivity.” 2012. Web. 05 Mar 2021.

Vancouver:

Schirmer TF. Two varieties of tunnel number subadditivity. [Internet] [Doctoral dissertation]. University of Iowa; 2012. [cited 2021 Mar 05]. Available from: https://ir.uiowa.edu/etd/3379.

Council of Science Editors:

Schirmer TF. Two varieties of tunnel number subadditivity. [Doctoral Dissertation]. University of Iowa; 2012. Available from: https://ir.uiowa.edu/etd/3379

University of Iowa

27. McDougall, Adam Corey. Relating Khovanov homology to a diagramless homology.

Degree: PhD, Mathematics, 2010, University of Iowa

URL: https://ir.uiowa.edu/etd/709

► A homology theory is defined for equivalence classes of links under isotopy in the 3-sphere. Chain modules for a link L are generated by… (more)

Subjects/Keywords: 3-manifolds; diagramless; khovanov homology; knot theory; link homology; state surfaces; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

McDougall, A. C. (2010). Relating Khovanov homology to a diagramless homology. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/709

Chicago Manual of Style (16^th Edition):

McDougall, Adam Corey. “Relating Khovanov homology to a diagramless homology.” 2010. Doctoral Dissertation, University of Iowa. Accessed March 05, 2021. https://ir.uiowa.edu/etd/709.

MLA Handbook (7^th Edition):

McDougall, Adam Corey. “Relating Khovanov homology to a diagramless homology.” 2010. Web. 05 Mar 2021.

Vancouver:

McDougall AC. Relating Khovanov homology to a diagramless homology. [Internet] [Doctoral dissertation]. University of Iowa; 2010. [cited 2021 Mar 05]. Available from: https://ir.uiowa.edu/etd/709.

Council of Science Editors:

McDougall AC. Relating Khovanov homology to a diagramless homology. [Doctoral Dissertation]. University of Iowa; 2010. Available from: https://ir.uiowa.edu/etd/709

University of Western Ontario

28. Wilson, Mitsuru. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.

Degree: 2016, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/3937

► We introduce a pseudo-Riemannian calculus of modules over noncommutative al- gebras in order to investigate to what extent the differential geometry of classical Riemannian manifolds… (more)

Subjects/Keywords: Curvature; Gauss-Bonnet-Chern theorem; Levi-Civita connection; noncommutative 4-sphere; noncommutative geometry; noncommutative 3-sphere; non- commutative toric manifolds; pseudo-Riemannian calculus.; Mathematics

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APA (6^th Edition):

Wilson, M. (2016). Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/3937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wilson, Mitsuru. “Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.” 2016. Thesis, University of Western Ontario. Accessed March 05, 2021. https://ir.lib.uwo.ca/etd/3937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wilson, Mitsuru. “Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.” 2016. Web. 05 Mar 2021.

Vancouver:

Wilson M. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. [Internet] [Thesis]. University of Western Ontario; 2016. [cited 2021 Mar 05]. Available from: https://ir.lib.uwo.ca/etd/3937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wilson M. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. [Thesis]. University of Western Ontario; 2016. Available from: https://ir.lib.uwo.ca/etd/3937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

29. Jeon, Bo Gwang. Hyperbolic 3-manifolds of bounded volume and trace field degree.

Degree: PhD, 0439, 2013, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/45424

► For a single cusped hyperbolic 3-manifold, Hodgson proved that there are only finitely many Dehn fillings of it whose trace fields have bounded degree. In… (more)

Subjects/Keywords: Hyperbolic 3-Manifolds; Volume; Dehn Filling; Trace Field

…the answer is yes to Question 3 for any s-cusped manifolds where 1 ≤ s ≤ k − 1. Let X be the… …manifolds) Let M be a k-cusped hyperbolic 3-manifold. Then the height of any Dehn filling of… …M is uniformly bounded. 3 Even though we only deal with manifolds under certain… …structure of hyperbolic 3-manifolds of bounded volume, and the second one is a part of Thurston’s… …finite set of non-compact manifolds M1 , ..., Mk such that all closed hyperbolic 3-manifolds of…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jeon, B. G. (2013). Hyperbolic 3-manifolds of bounded volume and trace field degree. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/45424

Chicago Manual of Style (16^th Edition):

Jeon, Bo Gwang. “Hyperbolic 3-manifolds of bounded volume and trace field degree.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 05, 2021. http://hdl.handle.net/2142/45424.

MLA Handbook (7^th Edition):

Jeon, Bo Gwang. “Hyperbolic 3-manifolds of bounded volume and trace field degree.” 2013. Web. 05 Mar 2021.

Vancouver:

Jeon BG. Hyperbolic 3-manifolds of bounded volume and trace field degree. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/2142/45424.

Council of Science Editors:

Jeon BG. Hyperbolic 3-manifolds of bounded volume and trace field degree. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/45424

Université Paris-Sud – Paris XI

30. Dufour, Guillaume. Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds.

Degree: Docteur es, Mathématiques, 2012, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2012PA112053

►

Cette thèse est une contribution au domaine des cubulations de groupes hyperboliques au sens de Gromov. Nous nous intéressons au cas particulier des groupes fondamentaux… (more)

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Cette thèse est une contribution au domaine des cubulations de groupes hyperboliques au sens de Gromov. Nous nous intéressons au cas particulier des groupes fondamentaux de variétés hyperboliques réelles compactes. La philosophie inspirée dans ce domaine par les travaux de M. Sageev est que si un groupe hyperbolique possède suffisamment de sous-groupes de codimension 1 quasi-convexes, alors il agit géométriquement sur un complexe cubique CAT(0) de dimension finie. Nous démontrons un critère précis de cubulation pour les groupes fondamentaux de variétés hyperboliques compactes, à l'aide de constructions d'espaces à murs quasi-isométriques à l'espace hyperbolique réel. Nous nous restreignons par la suite au cas particulier de la dimension 3 et plus particulièrement aux 3-variétés hyperboliques compactes virtuellement fibrées sur le cercle. Nous exploitons alors une construction de surfaces immergées incompressibles dites coupées-croisées due à D. Cooper, D. Long et A. Reid dans une telle 3-variété M pour fabriquer des sous-groupes de surface de son groupe fondamental~G. En raffinant des arguments de J. Masters et en exploitant la structure de l'application de Cannon-Thurston, nous parvenons à construire des sous-groupes de surfaces quasi-convexes de G en quantité suffisante pour que leurs ensembles limites permettent de séparer toutes les paires de points distincts du bord du revêtement universel de M. En conséquence de cette construction, G agit géométriquement sur un complexe cubique CAT(0) de dimension finie. D. Wise soulève alors la question de savoir si ce groupe G peut agir géométriquement et également virtuellement co-spécialement (au sens de F. Haglund et D. Wise) sur un complexe cubique CAT(0). Une réponse positive résoudrait les conjectures selon lesquelles G est large et le premier nombre de Betti virtuel de M est infini. Nous faisons remarquer que pour obtenir une réponse positive à cette question, il suffit de trouver une surface coupée-croisée virtuellement plongée dans un revêtement fini fibré sur le cercle de M. Nous concluons en présentant des conditions algébriques, puis géométriques et cohomologiques suffisantes pour qu'une surface coupée-croisée donnée soit virtuellement plongée.

This thesis contributes to the study of geometric actions of word-hyperbolic groups on finite dimensional CAT(0) cube complexes. We are mainly interested in the case of fundamental groups of closed hyperbolic manifolds. The philosophy coming from pioneer work of M. Sageev is that a hyperbolic group with sufficiently many quasi-convex codimension one subgroups acts geometrically on a finite dimensional CAT(0) cube complex. We prove a precise criterion for cubulation in the case of closed hyperbolic manifolds, by constructing spaces with walls quasi-isometric to real hyperbolic space. We next focus on the case of three dimensional closed hyperbolic manifolds which are virtually fibered over the circle. In this setting, we use a construction of incompressibly immersed cut-and-cross-join surfaces due to D. Cooper, D. Long…

Advisors/Committee Members: Haglund, Frédéric (thesis director).

Subjects/Keywords: Espaces à murs; Complexes cubiques CAT(0); Groupes hyperboliques; 3-variétés hyperboliques compactes; Sous-groupes de surface; Surfaces coupéees-croisées; Spaces with walls; CAT(0) cube complexes; Hyperbolic groups; Closed hyperbolic 3-manifolds; Surface subgroups; Cut-and-cross-join surfaces

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dufour, G. (2012). Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2012PA112053

Chicago Manual of Style (16^th Edition):

Dufour, Guillaume. “Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds.” 2012. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed March 05, 2021. http://www.theses.fr/2012PA112053.

MLA Handbook (7^th Edition):

Dufour, Guillaume. “Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds.” 2012. Web. 05 Mar 2021.

Vancouver:

Dufour G. Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2012. [cited 2021 Mar 05]. Available from: http://www.theses.fr/2012PA112053.

Council of Science Editors:

Dufour G. Cubulations de variétés hyperboliques compactes : Cubulations of closed hyperbolic manifolds. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2012. Available from: http://www.theses.fr/2012PA112053

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Open Access Theses and Dissertations