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Generalized symplectic geometries and the index of families of elliptic problems

Author: Liviu I Nicolaescu
Publisher: Providence, R.I. : American Mathematical Society, 1997.
Series: Memoirs of the American Mathematical Society, no. 609.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Proves an index theorem for arbitrary families of elliptic boundary value problems for Dirac operators and a surgery formula for the index of a family of Dirac operators on a closed manifold. This  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nicolaescu, Liviu I.
Generalized symplectic geometries and the index of families of elliptic problems /
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Liviu I Nicolaescu
ISBN: 9781470401948 1470401940
OCLC Number: 851086195
Notes: "July 1997, volume 128, number 609 (first of 4 numbers)."
Description: 1 online resource (xii, 80 pages) : illustrations.
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.
Series Title: Memoirs of the American Mathematical Society, no. 609.
Responsibility: Liviu I. Nicolaescu.

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