2 citations · 3 across the 9 of their papers we have counts for
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Bounded cohomology, Codimension two submanifolds and Pontryagin-Thom constructions
Thorben Kastenholz
In this note we develop a novel approach for proving the non-vanishing of bounded cohomology. This utilizes a splitting argument whose simplest form is as follows: Let M denote an…
Simplicial volume of manifolds fibering with connected structure group
Thorben Kastenholz
In this note we investigate the simplicial volume of fiber bundles with connected structure group. We are able to show that if the structure group is either compact or a Lie group,…
Simplicial bounded cohomology and stability
Thorben Kastenholz, Robin J. Sroka
We introduce a set of combinatorial techniques for studying the simplicial bounded cohomology of semi-simplicial sets, simplicial complexes and posets. We apply these methods to pr…
Symplectic Groups, Mapping Class Groups and the Stability of Bounded Cohomology
Thorben Kastenholz
Mapping class groups satisfy cohomological stability. In this note we show how results by Bestvina and Fujiwara imply that the bounded cohomology does not stabilize, additionally w…
Homological Stability for Spaces of Subsurfaces with Tangential Structure
Thorben Kastenholz
Given a manifold with boundary, one can consider the space of subsurfaces of this manifold meeting the boundary in a prescribed fashion. It is known that these spaces of subsurface…