On the Homotopy Type of the Fredholm Lagrangian Grassmannian
Algebraic Topology
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0502480,
title = {On the Homotopy Type of the Fredholm Lagrangian Grassmannian},
author = {José Carlos Corrêa Eidam and Paolo Piccione},
journal= {arXiv preprint arXiv:math/0502480},
year = {2007}
}