Eta forms and the Chern Character

Details Eta forms and the Chern Character Eta forms and the Chern Character

2002-11-22

arxiv.org/abs/math/0211355v2

Mathematics

Differential Geometry

v2: minor changes to Sect.1 and Sect. 4 + various typos. 51 pages

Scientific paper

We prove two geometric index theorems for a family of first-order elliptic
operators over a manifold with boundary by computing eta form representatives
for the Chern character classes of the index bundle. The eta forms occur as
relative and regularized traces on infinite-dimensional vector bundles realized
as the limiting values of superconnection character forms.

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