Letters in Mathematical Physics

, Volume 73, Issue 2, pp 147–163 | Cite as

Stability Theorems for Chiral Bag Boundary Conditions

  • P. Gilkey
  • K. KirstenEmail author


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.


bag boundary conditions operator of Dirac type zeta and eta invariants variational formulas 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsBaylor UniversityWacoUSA

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