Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Schick, Thomas Prof. Dr."
Now showing items 21-30 of 30
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Higher Lefschetz invariants for foliated manifolds
(2012-05-22)Let $(M, F)$ be a compact foliated manifold. Suppose that a compact Lie group $Γ$ acts on $(M, F)$ by diffeomorphisms of Mthat map each leaf onto itself. We call such a structure a foliated $Γ$ -manifold and denote it ... -
The Index Bundle for Gap-Continuous Families, Morse-Type Index Theorems and Bifurcation
(2011-11-21)We generalise the well known index bundle construction of Atiyah and Jänich to families of (generally unbounded) Fredholm operators which are assumed to be continuous with respect to the ... -
Symmetric Squaring in Homology and Bordism
(2011-11-10)Looking at the cartesian product X × X of a topological space X with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that ... -
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 ... -
Some Aspects on Coarse Homotopy Theory
(2010-01-08)The most important examples of coarse spaces arise from proper metrics on spaces or from metrisable compactifications. In both cases, the bounded subsets are precisely the relatively compact ones. On the other hand, one ... -
Rough Isometries of Order Lattices and Groups
(2009-12-07)We first introduce some basic concepts in metric geometry and order lattice theory. We then combine these concepts to study order lattices with metrics, in particular with view on the ... -
Approximation of center-valued Betti-numbers and the center-valued Atiyah-conjecture
(2009-11-25)In the Thesis, we extend Lück"s approximation theorem for Betti-numbers to center-valued Betti-numbers. This allows to classify homology modules of G-CW complexes by looking at there finite dimensional analogues. In ... -
Reduktionssysteme zur Berechnung einer Auflösung der orthogonalen freien Quantengruppen A<sub>o</sub>(n)
(2008-07-29)For the free orthogonal quantum groups Ao(n) we give and verify a complete reduction system. In case of n = 2 we give a finite automat to find every basis element.Futhermore we give a basis ... -
l<sup>p</sup>-Kohomologie, insbesondere Verschwindungssätze für l<sup>p</sup>-Kohomologie
(2007-08-14)In this dissertation we study the lp-cohomology of discrete groups of type FPn. We give a duality statement and prove some vanishing results, in particular for groups with an ... -
Characteristic classes of vector bundles with extra structure
(2007-02-05)This work is about properties of characteristic cohomology classes which occur when a special structure on vector bundles is given. I have focused on two different types of these structures, treated in two independent parts. ...