An index theorem in differential K-theory

Details An index theorem in differential K-theory An index theorem in differential K-theory

2009-07-20

arxiv.org/abs/0907.3508v2

Geometry & Topology, 14 (2010), pp. 903-966

Mathematics

Differential Geometry

65 pages; version 2 has small changes for publication

Scientific paper

Let X --> B be a proper submersion with a Riemannian structure. Given a
differential K-theory class on X, we define its analytic and topological
indices as differential K-theory classes on B. We prove that the two indices
are the same.

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