On the maslov index

Sylvain E. Cappell, Ronnie Lee, Edward Y. Miller

Research output: Contribution to journalArticle

Abstract

In this paper we give four definitions of Maslov index and show that they all satisfy the same system of axioms and hence are equivalent to each other. Moreover, relationships of several symplectic and differential geometric, analytic, and topological invariants (including triple Maslov indices, eta invariants, spectral flow and signatures of quadratic forms) to the Maslov index are developed and formulae relating them are given. The broad presentation is designed with a view to applications both in geometry and in analysis. © 1994 John Wiley & Sons, Inc.

Original languageEnglish (US)
Pages (from-to)121-186
Number of pages66
JournalCommunications on Pure and Applied Mathematics
Volume47
Issue number2
DOIs
StatePublished - 1994

Fingerprint

Maslov Index
Geometry
Spectral Flow
Eta Invariant
Topological Invariants
Quadratic form
Axioms
Signature

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the maslov index. / Cappell, Sylvain E.; Lee, Ronnie; Miller, Edward Y.

In: Communications on Pure and Applied Mathematics, Vol. 47, No. 2, 1994, p. 121-186.

Research output: Contribution to journalArticle

Cappell, Sylvain E. ; Lee, Ronnie ; Miller, Edward Y. / On the maslov index. In: Communications on Pure and Applied Mathematics. 1994 ; Vol. 47, No. 2. pp. 121-186.
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