On the Homotopy Type of the Fredholm Lagrangian Grassmannian

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In this article, we show that the Fredholm Lagrangian Grassmannian is homotopy equivalent with the space of compact perturbations of a fixed lagrangian. As a corollary, we obtain that the Maslov index with respect to a lagrangian is a isomorphism between the fundamental group of the Fredholm Lagrangian Grassmannian and the integers.

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Algebraic Topology, 58B05; 58B15

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http://salesiana.dossiersoluciones.com/handle/123456789/74289

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502480
 http://arxiv.org/abs/math/0502480

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arXiv