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Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary

About this Title

P. Kirk and E. Klassen

Publication: Memoirs of the American Mathematical Society
Publication Year 1996: Volume 124, Number 592
ISBNs: 978-0-8218-0538-1 (print); 978-1-4704-0177-1 (online)
MathSciNet review: 1355034
MSC: Primary 58G10; Secondary 34L05, 35P05, 47E05, 58G25

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Table of Contents


  • 1. Introduction
  • 2. Basics
  • 3. Eigenvalue and tangential Lagrangians
  • 4. Small extended $L^2$ eigenvalues
  • 5. Dynamic properties of eigenvalue Lagrangians on $N^R_\lambda $ as $R \to \infty $
  • 6. Properties of analytic deformations of extended $L^2$ eigenvalues
  • 7. Time derivatives of extended $L^2$ and APS eigenvalues