We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
62/2005
Heat kernel coefficients for chiral bag boundary conditions
Giampiero Esposito, Peter B. Gilkey and Klaus Kirsten
Abstract
We study the asymptotic expansion of the smeared $L^{2}$-trace of $f \; e^{-tP^2}$ where $P$ is an operator of Dirac type, $f$ is an auxiliary smooth smearing function which is used to localize the problem, and chiral bag boundary conditions are imposed. Special case calculations, functorial methods and the theory of $\zeta$- and $\eta$-invariants are used to obtain the boundary part of the heat-kernel coefficients $a_{1}$ and $a_{2}$.
