Christopher Wulff

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20112025

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math.KT2025

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…

math.KT2025

Duality pairings with the analytic structure group

Christopher Wulff, Rudolf Zeidler

We construct a slant product $S_{p}^{G \times H} (X \times Y) \otimes K_{- q} (c ˉ^{red} Y ⋊ H) \to K_{p - q} (C_{G}^{*} X)$ on…

math.KT2011

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 $c$ -bordisms, whose usefulness is illustra…