Sutured manifolds, limits and knot Heegaard Floer homology

Geometry Topology Seminar
Monday, August 26, 2013 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
We will discuss how to define two invariants of knots using sutured Heegaard Floer homology, contact structures and limiting processes. These invariants turn out to be a reformulation of the plus and minus versions of knot Heegaard Floer homology and thus give a``sutured interpretation'' of these invariants and point to a deep connection between Heegaard Floer theory and contact geometry. If time permits we will also discuss the possibility of defining invariants of non-compact manifolds and of contact structures on such manifolds.