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Generalized symplectic geometries and the index of families of elliptic problems

About this Title

Liviu I. Nicolaescu

Publication: Memoirs of the American Mathematical Society
Publication Year 1997: Volume 128, Number 609
ISBNs: 978-0-8218-0621-0 (print); 978-1-4704-0194-8 (online)
MathSciNet review: 1388897
MSC: Primary 58G12; Secondary 19K56, 55N15, 55P10, 58F05, 58G20

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Table of Contents


  • 1. Algebraic preliminaries
  • 2. Topological preliminaries
  • 3. $(p,q)$-lagrangians and classifying spaces for $K$-theory
  • 4. Symplectic reductions
  • 5. Clifford symmetric Fredholm operators
  • 6. Families of boundary value problems for Dirac operators
  • Appendix A. Gap convergence of linear operators
  • Appendix B. Gap continuity of families of BVP’s for Dirac operators
  • Appendix C. Pseudodifferential Grassmanians and BVP’s for Dirac operators
  • Appendix D. The proof of Proposition 6.1