Eta invariants with spectral boundary conditions

Details Eta invariants with spectral boundary conditions Eta invariants with spectral boundary conditions

2004-06-15

arxiv.org/abs/math-ph/0406028v2

J.Phys. A38 (2005) 8103-8122

Physics

Mathematical Physics

19 pages, LaTeX, extended Introduction

Scientific paper

10.1088/0305-4470/38/37/011

We study the asymptotics of the heat trace $\Tr\{fPe^{-tP^2}\}$ where $P$ is
an operator of Dirac type, where $f$ is an auxiliary smooth smearing function
which is used to localize the problem, and where we impose spectral boundary
conditions. Using functorial techniques and special case calculations, the
boundary part of the leading coefficients in the asymptotic expansion is found.

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