- Abstract:
-
Kashiwara defined the Maslov index (associated to a collection of Lagrangian subspaces of a symplectic vector space over a field F) as a class in the Witt group W(F) of quadratic forms. We construct a canonical quadratic vector space in this class and show how to understand the basic properties of the Maslov index without passing to W(F) - that is, more or less, how to upgrade Kashiwara's equalities in W(F) to canonical isomorphisms between quadratic spaces. The quadratic space is defined usi...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.4310/MRL.2006.v13.n6.a13
-
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- Journal:
- MATHEMATICAL RESEARCH LETTERS
- Volume:
- 13
- Issue:
- 5-6
- Pages:
- 985-999
- Publication date:
- 2006-01-01
- DOI:
- EISSN:
-
1945-001X
- ISSN:
-
1073-2780
- URN:
-
uuid:c369deb3-111c-4be2-af41-5a909d9f52e5
- Source identifiers:
-
10125
- Local pid:
- pubs:10125
- Language:
- English
- Copyright date:
- 2006
Journal article
The Maslov index as a quadratic space
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