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arXiv · 1302.4296

Analytic and topological index maps with values in the K-theory of mapping cones

Robin J. Deeley
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Abstract

Index maps taking values in the $K$-theory of a mapping cone are defined and discussed. The resulting index theorem can be viewed in analogy with the Freed-Melrose index theorem. The framework of geometric $K$-homology is used in a fundamental way. In particular, an explicit isomorphism from a geometric model for $K$-homology with coefficients in a mapping cone, $C_{\phi}$, to $KK(C(X),C_{\phi})$ is constructed.

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Robin J. Deeley. 2013-02-18. Analytic and topological index maps with values in the K-theory of mapping cones. https://arxiv.org/abs/1302.4296

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