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On the maslov index
Author(s) -
Cappell Sylvain E.,
Lee Ronnie,
Miller Edward Y.
Publication year - 1994
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160470202
Subject(s) - mathematics , axiom , symplectic geometry , index (typography) , quadratic equation , pure mathematics , flow (mathematics) , differential (mechanical device) , algebra over a field , geometry , computer science , world wide web , engineering , aerospace engineering
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.