Javascript must be enabled

# Steven Sivek : A contact invariant in sutured monopole homology

Kronheimer and Mrowka recently used monopole Floer homology to define an invariant of sutured manifolds, following work of Juhász in Heegaard Floer homology. Contact 3-manifolds with boundary are natural examples of such manifolds. In this talk, I will construct an invariant of a contact structure as an element of the associated sutured monopole homology group. I will discuss several interesting properties of this invariant, including gluing maps which are analogous to the Heegaard Floer sutured gluing maps of Honda, Kazez, and Matić and applications to Legendrian knots. This is joint work with John Baldwin.

**Category**: Geometry and Topology**Duration**: 01:34:36**Date**: February 27, 2012 at 4:25 PM**Views**: 123-
**Tags:**seminar, Geometry/topology Seminar

## 0 Comments