The topology of a subspace of the Legendrian curves in a closed contact 3-manifold

Geometry Topology Seminar
Monday, November 26, 2012 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Rutgers University
In this talk we are going to present a theorem that can be seen as related to S. Smale's theorem on the topology of the space of Legendrian loops. The framework will be slightly different and the space of Legendrian curves will be replaced by a smaller space $C_{\beta}$, that appears to be convenient in some variational problems in contact form geometry. We will also talk about the applications and the possible extensions of this result. This is a joint work with V. Martino.