English

A topological definition of the Maslov bundle

Differential Geometry 2016-08-16 v1 Mathematical Physics math.MP

Abstract

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 H\"{o}rmander in his works about Fourier Inegral Operators.

Cite

@article{arxiv.math/0601586,
  title  = {A topological definition of the Maslov bundle},
  author = {Colette Anné},
  journal= {arXiv preprint arXiv:math/0601586},
  year   = {2016}
}
R2 v1 2026-07-22T17:30:30.820Z