A topological definition of the Maslov bundle

Colette Anné

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A topological definition of the Maslov bundle

Colette Anné

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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.

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Colette Anné. 2006-01-24. A topological definition of the Maslov bundle. https://arxiv.org/abs/math/0601586

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