Stability Theorems for Chiral Bag Boundary Conditions |
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Authors: | P?Gilkey Email author" target="_blank">K?KirstenEmail author |
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Institution: | (1) Department of Mathematics, University of Oregon, Eugene, OR 97403, USA;(2) Department of Mathematics, Baylor University, Waco, TX 76798, USA |
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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 θ. Studying the θ-dependence
of the above trace invariants, θ-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.
Mathematics Subject Classification (2000). 58J50 |
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Keywords: | bag boundary conditions operator of Dirac type zeta and eta invariants variational formulas |
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