AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
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)
DOI: https://doi.org/10.1090/memo/0609
MathSciNet review: 1388897
MSC: Primary 58G12; Secondary 19K56, 55N15, 55P10, 58F05, 58G20
Table of Contents
Chapters
- 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