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Stability Theorems for Chiral Bag Boundary Conditions
Authors:P?Gilkey  Email author" target="_blank">K?KirstenEmail author
Institution:(1) Department of Mathematics, University of Oregon, Eugene, OR 97403, USA;(2) Department of Mathematics, Baylor University, Waco, TX 76798, USA
Abstract:We study asymptotic expansions of the smeared L 2-traces Fet P^2 and FPetP^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
Keywords:bag boundary conditions  operator of Dirac type  zeta and eta invariants  variational formulas
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