Preprint 68/2005

Stability theorems for chiral bag boundary conditions

Peter B. Gilkey and Klaus Kirsten

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Submission date: 29. Jun. 2005
Pages: 15
published in: Letters in mathematical physics, 73 (2005) 2, p. 147-163 
DOI number (of the published article): 10.1007/s11005-005-0006-x
MSC-Numbers: 58J50
Keywords and phrases: bag boundary conditions, operator of dirac type, zeta and eta invariants, variational formulas
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We study asymptotic expansions of the smeared formula5-traces formula7 and formula9, 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 formula15. Studying the formula15-dependence of the above trace invariants, formula15-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.

18.10.2019, 02:12