38 citations · 494 across the 89 of their papers we have counts for
5 papers · 1 filter
Split injectivity of A-theoretic assembly maps
Ulrich Bunke, Daniel Kasprowski, Christoph Winges
We construct an equivariant coarse homology theory arising from the algebraic -theory of spherical group rings and use this theory to derive split injectivity results for associ…
Homotopy theory with marked additive categories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We construct combinatorial model category structures on the categories of (marked) categories and (marked) pre-additive categories, and we characterize (marked) additive categories…
Transfers in coarse homology
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We enlarge the category of bornological coarse spaces by adding transfer morphisms and introduce the notion of an equivariant coarse homology theory with transfers. We then show th…
Injectivity results for coarse homology theories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class o…
Coarse homotopy theory and boundary value problems
Ulrich Bunke
We provide an interpretation of the APS index theorem of Piazza-Schick and Zeidler in terms of coarse homotopy theory. On the one hand we propose a motivic version of the boundary…