Stability theorems for chiral bag boundary conditions
Peter B. Gilkey and Klaus Kirsten
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Submission date: 29. Jun. 2005
published in: Letters in mathematical physics, 73 (2005) 2, p. 147-163
DOI number (of the published article): 10.1007/s11005-005-0006-x
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 -traces and , 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 . Studying the -dependence of the above trace invariants, -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.