Real embeddings, eta invariant and Chern-Simons current

Details Real embeddings, eta invariant and Chern-Simons current Real embeddings, eta invariant and Chern-Simons current

2007-07-28

arxiv.org/abs/0707.4219v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We present an alternate proof of the Bismut-Zhang localization formula for
$\eta$-invariants without using the analytic techniques developed by
Bismut-Lebeau. A Riemann-Roch property for Chern-Simons currents, which is of
independent interest, is established in due course.

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