Advanced search options

Sorted by: relevance · author · university · date | New search

Language: English ^{❌}

You searched for `subject:(Generalized Cohomology Theory)`

.
Showing records 1 – 2 of
2 total matches.

▼ Search Limiters

1.
Nuiten, J.J.
Cohomological quantization of local prequantum boundary field * theory*.

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/282756

We discuss how local prequantum field theories with boundaries can be described in terms of n-fold correspondence diagrams in the infinity-topos of smooth stacks equipped with higher circle bundles. This places us in a position where we can linearize the prequantum theory by mapping the higher circle groups into the groups of units of a ring spectrum, and then quantize the theory by a pull-push construction in the associated generalized cohomology theory. In such a way, we can produce quantum propagators along cobordisms and partition functions of boundary theories as maps between certain twisted cohomology spectra. We are particularly interested in the case of 2d boundary field theories, where the pull-push quantization takes values in the twisted K-theory of differentiable stacks.
Many quantization procedures found in the literature fit in this framework. For instance, propagators as maps between spectra have been considered in the context of string topology and in the realm of Chern-Simons theory, transgressed to two dimensions. Examples of partitions functions of boundary theories are provided by the D-brane charges appearing in string theory and the K-theoretic quantization of symplectic manifolds. Here we extend the latter example to produce a K-theoretic quantization of Poisson manifolds, viewed as boundaries of the non-perturbative Poisson sigma-model. This involves geometric quantization of symplectic groupoids as well as the K-theoretic formulation of Kirillov’s orbit method. At the end we give an outlook on the 2d string sigma-model on the boundary of the membrane, quantized over tmf-cohomology with partition function the Witten genus.
*Advisors/Committee Members: Henriques, dr. A.G..*

Subjects/Keywords: quantum field theory; quantization; generalized cohomology; K-theory

…procedure, we should look for a concrete *generalized* *cohomology* *theory* of
smooth stacks which is… …*generalized* *cohomology* of the homotopy type of a quotient stack
M//G does not always agree with the… …gives only a first example of the quantization
by pull-pushing in *generalized* *cohomology*… …a general abstract *theory* of twisted *cohomology*
spectra and pushforward maps, due to [… …we can pull in
R-*cohomology* along the left map, and push along the right map to produce a…

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Nuiten, J. J. (2013). Cohomological quantization of local prequantum boundary field theory. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/282756

Chicago Manual of Style (16^{th} Edition):

Nuiten, J J. “Cohomological quantization of local prequantum boundary field theory.” 2013. Masters Thesis, Universiteit Utrecht. Accessed September 19, 2020. http://dspace.library.uu.nl:8080/handle/1874/282756.

MLA Handbook (7^{th} Edition):

Nuiten, J J. “Cohomological quantization of local prequantum boundary field theory.” 2013. Web. 19 Sep 2020.

Vancouver:

Nuiten JJ. Cohomological quantization of local prequantum boundary field theory. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2020 Sep 19]. Available from: http://dspace.library.uu.nl:8080/handle/1874/282756.

Council of Science Editors:

Nuiten JJ. Cohomological quantization of local prequantum boundary field theory. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/282756

2.
Stapleton, Nathaniel J.
Transchromatic *generalized* character maps.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/26269

In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this paper we use the geometry of p-divisible groups to describe a sequence of "intermediate" character theories that retain more information about the cohomology theory E and yield the related result of Hopkins, Kuhn, and Ravenel as a special case.
*Advisors/Committee Members: Rezk, Charles (advisor), Ando, Matthew (Committee Chair), Rezk, Charles (committee member), McCarthy, Randy (committee member), Schenck, Henry K. (committee member).*

Subjects/Keywords: Algebraic Topology; Stable Homotopy Theory; Generalized Cohomology Theory; p-Divisible Group; Barsotti-Tate Group; Morava E-theory

…*theory* we mean a *generalized* *cohomology* *theory* on the category of finite spaces (spaces… …Kuhn, and Ravenel build, for each Morava E-*theory*, an equivariant *cohomology* *theory* that… …and Fix(X) =
be used to make a height t *cohomology* *theory*. Let Gp = hom(Zn−t… …allows for flat extension of
*cohomology* theories. By an equivariant *cohomology* *theory* we will… …periodic
height t *theory*. Basic properties of these *cohomology* theories can be found in (…

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Stapleton, N. J. (2011). Transchromatic generalized character maps. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/26269

Chicago Manual of Style (16^{th} Edition):

Stapleton, Nathaniel J. “Transchromatic generalized character maps.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 19, 2020. http://hdl.handle.net/2142/26269.

MLA Handbook (7^{th} Edition):

Stapleton, Nathaniel J. “Transchromatic generalized character maps.” 2011. Web. 19 Sep 2020.

Vancouver:

Stapleton NJ. Transchromatic generalized character maps. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Sep 19]. Available from: http://hdl.handle.net/2142/26269.

Council of Science Editors:

Stapleton NJ. Transchromatic generalized character maps. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/26269