Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Zhu, Chenchang Prof. Dr."
Now showing items 1-8 of 8
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Generalized Seiberg-Witten and the Nahm Transform
(2019-01-11)Using the viewpoint of principal bundles on hyperk¨ ahler reductions, we recover the results of Gocho and Nakajima [GN92] and give insights into the role that the quater- nions play. We define a framework for dimensional ... -
Geometric twisted K-homology, T-duality isomorphism and T-duality for circle actions
(2015-11-16)We discuss topological T-duality and the associated geometric or topological objects in this thesis. Concretely, it consists of three parts. In this first part we prove two versions of geometric twisted K-homology are ... -
Groupoids in categories with partial covers
(2019-02-07)Meyer and Zhu survey the general theory of groupoids, groupoid actions, groupoid principal bundles, and various kinds of morphisms between groupoids in the framework of categories with pretopology. We modify the categorical ... -
Higher Groupoid Actions, Bibundles, and Differentiation
(2014-08-13)In this thesis, we employ simplicial methods to study actions, principal bundles and bibundles of higher groupoids. Roughly, we use Kan fibrations to model actions of higher groupoids; we use pairs of a Kan fibration ... -
Multiscale Change-point Segmentation: Beyond Step Functions
(2017-03-08)Many multiscale segmentation methods have been proven to work successfully for detecting multiple change-points, mainly because they provide faithful statistical statements, while at the same time allowing for efficient ... -
Symmetric Homotopy Theory for Operads and Weak Lie 3-Algebras
(2021-01-14)This thesis consists of two parts: In the first, we develop the homotopy theory of differential graded operads over any unital commutative ring. The main idea is to consider the symmetric group actions as part of the ... -
Twisted K-theory with coefficients in a C*-algebra and obstructions against positive scalar curvature metrics
(2010-03-17)We introduce the notion of twisted Hilbert A-module bundles to construct a geometric realization of twisted K-theory with coefficients in a C*-algebra A. Like ordinary bundles of Hilbert ... -
Z-graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures
(2021-06-21)The purpose of this thesis is to present a self-standing review of $\mathbb{Z}$- (respectively $\mathbb{N}$-)graded supergeometry with emphasis in the development and study of two particular structures therein. Namely, ...