Seminari del Dipartimento di Matematica

Seminario del 2014

Vittorio Martino

A Smale type result and application to contact homology

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

We will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S^1-equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Homology of a family of tight contact forms on the three-dimensional torus.