A topological definition of the Maslov bundle

Colette Anné; Colette Anné

Authors

Colette Anné Laboratoire de Mathématiques Jean Leray, Université de Nantes, BP 92208 44322 Nantes-Cedex 03, France.
Colette Anné Laboratoire de Mathématiques Jean Leray, Université de Nantes, BP 92208 44322 Nantes-Cedex 03, France.

Keywords:

Fourier Integral Operators, Maslov bundle, Hörmander's index

Abstract

We give a definition of the Maslov fibre bundle for a lagragian submanifold of the cotangent bundle of a smooth manifold. This definition generalizes the definition given, in homotopic terms, by Arnol'd for lagrangian submanifold of T*â„ⁿ . We show that our definition coincides with the one of Hörmander is his works about Fourier Integral Operators.