A topological definition of the Maslov bundle

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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.  

Keywords

Fourier Integral Operators , Maslov bundle , Hörmander's index
  • 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.
  • Pages: 1–15
  • Date Published: 2006-04-01
  • Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal

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Published

2006-04-01

How to Cite

[1]
C. Anné and C. Anné, “A topological definition of the Maslov bundle”, CUBO, vol. 8, no. 1, pp. 1–15, Apr. 2006.

Issue

Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal

Section

Articles