5 citations · 13 across the 9 of their papers we have counts for
12 papers
The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature
Alexander Engel, Christopher Wulff
We provide a coarse version of the relative index of Gromov and Lawson and thoroughly establish all of its basic properties. As an application, we discuss a general procedure to co…
Duality pairings with the analytic structure group
Christopher Wulff, Rudolf Zeidler
We construct a slant product on…
Generalized asymptotic algebras and -theory for non-separable -algebras
Christopher Wulff
In previous definition of -theory, separability of the -algebras is needed either to construct the composition product or to prove the long exact sequence…
Secondary cup and cap products in coarse geometry
Christopher Wulff
We construct secondary cup and cap products on coarse (co-)homology theories from given cross and slant products. They are defined for coarse spaces relative to weak generalized co…
Equivariant Coarse (Co-)Homology Theories
Christopher Wulff
We present an Eilenberg-Steenrod-like axiomatic framework for equivariant coarse homology and cohomology theories. We also discuss a general construction of such coarse theories fr…
Slant products on the Higson-Roe exact sequence
Alexander Engel, Christopher Wulff, Rudolf Zeidler
We construct a slant product on the analytic structure group of Hi…
Coronas for properly combable spaces
Alexander Engel, Christopher Wulff
This paper is a systematic approach to the construction of coronas (i.e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for c…
A geometric proof of Lück's vanishing theorem for the first -Betti number of the total space of a fibration
Christopher Wulff
A significant theorem of Lück says that the first -Betti number of the total space of a fibration vanishes under some conditions on the fundamental groups. The proof is based…
Coarse indices of twisted operators
Christopher Wulff
Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in -theory. The other type is b…
Ring and module structures on -theory of leaf spaces and their application to longitudinal index theory
Christopher Wulff
Pursuing conjectures of John Roe, we use the stable Higson corona of foliated cones to construct a new -theory model for the leaf space of a foliation. This new -theory model…
Coarse co-assembly as a ring homomorphism
Christopher Wulff
The -theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ring is the domain of an unreduced version of the coarse co-assembly map of Em…
Bordism Invariance of the Coarse Index
Christopher Wulff
We prove bordism invariance of the coarse index of complex elliptic pseudodifferential operators. In our discussion we introduce directed -bordisms, whose usefulness is illustra…