The Maslov Index as a Quadratic Space

  title={The Maslov Index as a Quadratic Space},
  author={Teruji Thomas},
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… CONTINUE READING

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