%0 Journal Article
%T On the Homotopy Type of the Fredholm Lagrangian Grassmannian
%A Jos¨¦ Carlos Corr¨ºa Eidam
%A Paolo Piccione
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0502480v2