Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Zhu, Chenchang Prof. Dr."
Now showing items 1-11 of 11
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C*-algebras of relatively proper groupoid correspondences
(2024-12-09)The objective of the work is to study C*-algebras associated to relatively proper groupoid correspondences, in particular exploring two constructions and proving that they are isomorphic. We also explore some properties ... -
Higher Currents for the sine-Gordon Model in perturbative Algebraic Quantum Field Theory
(2024-09-19)The main results of this thesis are the establishment of the super-renormalizability by power counting and of the summability of an infinite number of (classically conserved) higher currents for the sine-Gordon model in ... -
Reduction of Lie and Courant Algebroids and Application to Double Vector Bundles
(2024-05-17)In this thesis we evaluate the reduction procedure of Poisson manifolds and apply it to structures closely related to them such as Lie (bi-)algebroids, Courant algebroids and Lie-Rinehart algebras. Moreover, we apply this ... -
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, ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ...