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*ℝn . We show that our definition coincides with the one of Hörmander is his works about Fourier Integral Operators.
@article{1608,
title = {A topological definition of the Maslov bundle},
journal = {CUBO, A Mathematical Journal},
volume = {8},
year = {2006},
language = {en},
url = {http://dml.mathdoc.fr/item/1608}
}
Anné, Colette; Anné, Colette. A topological definition of the Maslov bundle. CUBO, A Mathematical Journal, Tome 8 (2006) . http://gdmltest.u-ga.fr/item/1608/