Faculties of University Bonn: Search
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Cycleclasses for algebraic De Rham cohomology and crystalline cohomology
(2002)
For schemes which are smooth over a regular base scheme we establish the existence of cycle class maps with values in the corresponding algebraic De Rham cohomology. These maps have all the properties one expects, i.e. ...
The Farrell-Jones conjecture for some general linear groups
(2013-07-10)
In this thesis I prove the K- and L-theoretic Farrell-Jones conjecture with coefficients in any additive category for the general linear groups of F(x) for a finite field F. I also show that the general linear groups over ...
On the relation between K- and L-theory of complex C*-Algebras
(2016-07-26)
We study the space of natural transformations from connective topological K-theory to algebraic L-theory viewed as functors from C*-algebras to spectra. We prove the existence of a transformation which witnesses the ...
Rational global homotopy theory and geometric fixed points
(2017-12-20)
We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. ...
Assembly Maps and Pseudoisotopy Functors
(2019-05-03)
In this thesis we show the existence of a stable, smooth pseudoisotopyfunctor and construct in the topological, piecewise linear, and smooth category a zig-zag of natural weak equivalences between the stable pseudoisotopyfunctor ...