7 papers
A characterization of sheaves among six functor formalisms on
Ulrich Bunke, Marco Volpe
Let be any stable presentably symmetric monoidal -category. In this paper, we characterize on locally compact Hausdorff spaces a…
-theory of --algebras and functor formalisms
Ulrich Bunke
We show that -theory for locally compact Hausdorff spaces constitutes a six-functor formalism which is equivalent to the six-functor formalism of -valued sheaves. We…
Transgressions and Chern characters in coarse homotopy theory
Ulrich Bunke
This paper investigates a variety of coarse homology theories and natural transformations between them. We in particular study the commutativity of a square relating analytical and…
Coarse cone quotients
Ulrich Bunke
We study the coarse motive of the quotient of the cone of a uniform bornological coarse space with -action. If admits a sufficiently ergodic…
Branched coarse coverings and transfer maps
Ulrich Bunke
We introduce the concepts of branched coarse coverings and transfers between coarse homology theories along them. We show that various versions of coarse -homology theories admi…
Finite asymptotic dimension and the coarse assembly map
Ulrich Bunke
In this note we give a simple argument for the fact that the coarse assembly map for a strong coarse homology theory with weak transfers and a bornological coarse space of weakly f…
Coronas and Callias type operators in coarse geometry
Ulrich Bunke, Matthias Ludewig
We interpret the coarse symbol and index class of a Callias type Dirac operator on a manifold as a pairing between the coarse symbol and index classes associated to a…