+publisher:"Universiteit Utrecht" +contributor:("Cavalcanti, G.R.")

1. Klaasse, R.L. Seiberg-Witten theory for symplectic manifolds.

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/282753

► In this thesis we give an introduction to Seiberg-Witten gauge theory used to study compact oriented four-dimensional manifolds X. Seiberg-Witten theory uses a Spin c… (more)

Subjects/Keywords: Seiberg-Witten theory; four-manifolds; symplectic manifolds; Spin c structures; Dirac operators

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APA (6^th Edition):

Klaasse, R. L. (2013). Seiberg-Witten theory for symplectic manifolds. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/282753

Chicago Manual of Style (16^th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/282753.

MLA Handbook (7^th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Web. 18 Jan 2021.

Vancouver:

Klaasse RL. Seiberg-Witten theory for symplectic manifolds. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/282753.

Council of Science Editors:

Klaasse RL. Seiberg-Witten theory for symplectic manifolds. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/282753

Universiteit Utrecht

2. Tel, A.W. Lefschetz fibrations and symplectic structures.

Degree: 2015, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/311281

► In this thesis, we study a relation between symplectic structures and Lefschetz ?brations to shed some light on 4-manifold theory. We introduce symplectic manifolds and… (more)

Subjects/Keywords: Lefschetz fibration; Lefschetz pencil; symplectic geometry; fiber bundle; complex geometry; compatibility

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APA (6^th Edition):

Tel, A. W. (2015). Lefschetz fibrations and symplectic structures. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/311281

Chicago Manual of Style (16^th Edition):

Tel, A W. “Lefschetz fibrations and symplectic structures.” 2015. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/311281.

MLA Handbook (7^th Edition):

Tel, A W. “Lefschetz fibrations and symplectic structures.” 2015. Web. 18 Jan 2021.

Vancouver:

Tel AW. Lefschetz fibrations and symplectic structures. [Internet] [Masters thesis]. Universiteit Utrecht; 2015. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/311281.

Council of Science Editors:

Tel AW. Lefschetz fibrations and symplectic structures. [Masters Thesis]. Universiteit Utrecht; 2015. Available from: http://dspace.library.uu.nl:8080/handle/1874/311281

Universiteit Utrecht

3. Wang, K.J.L. Generalized complex geometry and blow-ups.

Degree: 2014, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/296914

► Blowing up is a well-known procedure to resolve singularities and create new spaces with certain kinds of geometric structures. Although the technique of blowing-up is… (more)

Subjects/Keywords: generalized complex geometry; blow-up; differential geometry; Morita equivalence

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

APA (6^th Edition):

Wang, K. J. L. (2014). Generalized complex geometry and blow-ups. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/296914

Chicago Manual of Style (16^th Edition):

Wang, K J L. “Generalized complex geometry and blow-ups.” 2014. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/296914.

MLA Handbook (7^th Edition):

Wang, K J L. “Generalized complex geometry and blow-ups.” 2014. Web. 18 Jan 2021.

Vancouver:

Wang KJL. Generalized complex geometry and blow-ups. [Internet] [Masters thesis]. Universiteit Utrecht; 2014. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/296914.

Council of Science Editors:

Wang KJL. Generalized complex geometry and blow-ups. [Masters Thesis]. Universiteit Utrecht; 2014. Available from: http://dspace.library.uu.nl:8080/handle/1874/296914

4. Bet, B.P. Electromagnetic duality, del Pezzo surfaces and Instantons.

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/282329

► Electromagnetism can be described as an Abelian gauge theory. A mathematical overview of gauge theory and the concept of instantons is given. Electromagnetic duality is… (more)

Subjects/Keywords: gauge theory; instantons; Dirac quantization; electromagnetic duality; del Pezzo surfaces; instanton moduli space; Donaldson invariants

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

APA (6^th Edition):

Bet, B. P. (2013). Electromagnetic duality, del Pezzo surfaces and Instantons. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/282329

Chicago Manual of Style (16^th Edition):

Bet, B P. “Electromagnetic duality, del Pezzo surfaces and Instantons.” 2013. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/282329.

MLA Handbook (7^th Edition):

Bet, B P. “Electromagnetic duality, del Pezzo surfaces and Instantons.” 2013. Web. 18 Jan 2021.

Vancouver:

Bet BP. Electromagnetic duality, del Pezzo surfaces and Instantons. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/282329.

Council of Science Editors:

Bet BP. Electromagnetic duality, del Pezzo surfaces and Instantons. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/282329

5. Lam, H. het. Singularities in Spacetimes with Torsion.

Degree: 2016, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/335282

► We study the singularity theorems of Hawking and Penrose in spacetimes with non-vanishing torsion (Einstein-Cartan theory). Assuming that test particles move on geodesics we manage… (more)

▼ We study the singularity theorems of Hawking and Penrose in spacetimes with non-vanishing torsion (Einstein-Cartan theory). Assuming that test particles move on geodesics we manage to generalize those theorems to the case of totally anti-symmetric torsion. In doing so we derive the generalized Raychaudhuri equation for timelike geodesics and arbitrary torsion. For totally anti-symmetric torsion we find that the vorticity of a geodesic is directly related to the torsion. We find that the theorems are not directly extendable to spacetimes that have non totally anti-symmetric torsion; other arguments are needed. However, we formulate a construction that enables one to create a null geodesically incomplete spacetime with vectorial torsion starting from a spacetime that is null geodesically incomplete with respect to the Levi-Civita connection. The geometric assumptions of the singularity theorems can be translated to assumptions on the matter content of spacetime via the equations of motion of the theory. We studied the two ways of deriving these equations. It turns out that for totally anti-symmetric torsion the metric formalism, in which one takes the metric and torsion as dynamical variables and assumes metric compatibility, is equivalent to the metric-affine formalism, in which one takes the metric and connection as dynamical variables and does not assume metric compatibility. Matter in the Standard model induces totally anti-symmetric torsion. We also generalize the Bianchi identity and conservation of the energy-momentum tensor in general relativity to Einstein-Cartan theory. We examine the singularity theorems in FLRW spacetimes (assuming vanishing torsion). We argue that one should not use the general definition of a singularity in these spacetimes but should define a singularity as a comoving geodesic that is incomplete. We prove theorems for FLRW spacetimes about the relation between conjugate points and a singularity. In particular we show that for a class of singular spacetimes all points on certain geodesics are conjugate to the point at the singularity. Also when every point on a geodesic is conjugate to a certain point, one must have a singularity. Lastly we show under which condition a geodesic in an FLRW spacetime with flat spacelike three-surfaces has conjugate points. Advisors/Committee Members: Prokopec, T., R.%22%29&pagesize-30">Cavalcanti, G.R..

Subjects/Keywords: Einstein-Cartan Theory; Torsion; Singularity; Singularity theorems; Conjugate Points; FLRW spacetime

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

APA (6^th Edition):

Lam, H. h. (2016). Singularities in Spacetimes with Torsion. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/335282

Chicago Manual of Style (16^th Edition):

Lam, H het. “Singularities in Spacetimes with Torsion.” 2016. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/335282.

MLA Handbook (7^th Edition):

Lam, H het. “Singularities in Spacetimes with Torsion.” 2016. Web. 18 Jan 2021.

Vancouver:

Lam Hh. Singularities in Spacetimes with Torsion. [Internet] [Masters thesis]. Universiteit Utrecht; 2016. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/335282.

Council of Science Editors:

Lam Hh. Singularities in Spacetimes with Torsion. [Masters Thesis]. Universiteit Utrecht; 2016. Available from: http://dspace.library.uu.nl:8080/handle/1874/335282

6. Broens, J.P.S. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/281795

► Instantons and electric-magnetic duality are two phenomena that arise in the interplay between gauge theory and four-dimensional geometry. An important class of instantons in four-dimensional… (more)

Subjects/Keywords: Instantons; Yang – Mills theory; Electric-magnetic duality; Maxwell theory; four-manifolds; del Pezzo surfaces

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

APA (6^th Edition):

Broens, J. P. S. (2013). Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/281795

Chicago Manual of Style (16^th Edition):

Broens, J P S. “Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.” 2013. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/281795.

MLA Handbook (7^th Edition):

Broens, J P S. “Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.” 2013. Web. 18 Jan 2021.

Vancouver:

Broens JPS. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/281795.

Council of Science Editors:

Broens JPS. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/281795

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