Search

MiS Preprint Repository

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
68/2005

Stability theorems for chiral bag boundary conditions

Peter B. Gilkey and Klaus Kirsten

Abstract

We study asymptotic expansions of the smeared $L^2$-traces $Fe^{-t P^2}$ and $FPe^{-tP^2}$, where $P$ is an operator of Dirac type and $F$ is an auxiliary smooth endomorphism. We impose chiral bag boundary conditions depending on an angle $\theta$. Studying the $\theta$-dependence of the above trace invariants, $\theta$-independent pieces are identified. The associated stability theorems allow one to show the regularity of the eta function for the problem and to determine the most important heat kernel coefficient on a four dimensional manifold.

Received:
Jun 29, 2005
Published:
Jun 29, 2005
MSC Codes:
58J50
Keywords:
bag boundary conditions, operator of dirac type, zeta and eta invariants, variational formulas

Related publications

inJournal
2005 Repository Open Access
Peter B. Gilkey and Klaus Kirsten

Stability theorems for chiral bag boundary conditions

In: Letters in mathematical physics, 73 (2005) 2, pp. 147-163