A topological definition of the Maslov bundle

Colette Anné (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We give a definition of the Maslov fibre bundle for a lagrangian submanifold of the cotangent bundle of a smooth manofold. This definition generelizes the definition given, in homotopic terms, by Arnol'd for lagrangian submanifolds of the cotangent bundle of the euclidean space and coincides with the one of Hörmander in his works about Fourier Inegral Operators.

Mots clés: Fourier Integral Operators; Maslov bundle; Hörmander's index.; Hörmander's index

Domaines: Géométrie différentielle [math.DG]; Géométrie symplectique [math.SG]; Physique mathématique [math-ph]

Colette Anné. A topological definition of the Maslov bundle. Cubo, a Mathematical Journal, 2006, 8, N. 1, p. 1--15. ⟨hal-00017676⟩