On the Homotopy Type of the Fredholm Lagrangian Grassmannian

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dc.creatorEidam, José Carlos Corrêa
dc.creatorPiccione, Paolo
dc.date2005-02-23
dc.date2005-02-24
dc.date.accessioned2026-07-07T05:17:24Z
dc.date.available2026-07-07T05:17:24Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0502480
dc.identifierhttp://arxiv.org/abs/math/0502480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74289
dc.subjectAlgebraic Topology
dc.subject58B05; 58B15
dc.titleOn the Homotopy Type of the Fredholm Lagrangian Grassmannian
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