arXiv subjects

José Carlos Corrêa Eidam

Publications and source records attributed to José Carlos Corrêa Eidam.

2 recordsLinked to original sources

arXiv2005

On the Homotopy Type of the Fredholm Lagrangian Grassmannian

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.

math.AT↗

arXiv2005

Partial Signatures and the Yoshida-Nicolaescu Theorem

In this article, we give a simple and direct proof of the Yoshida-Nicolaescu Theorem in a more general context by using the theory of partial signatures. We do not impose the usual condition of non-degeneracy at the endpoints and use a natural definition of the Maslov index.

math.DG↗