Eta invariants with spectral boundary conditions

Abstract

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.

19 pages, LaTeX, extended Introduction

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Cited by in corpus (2)

• Dirac Equation in the Background of the Nutku Helicoid Metric
• Spectral asymmetry on the ball and asymptotics of the asymmetry kernel