Tight Surgeries on Knots in Overtwisted Contact Manifolds

Geometry Topology Seminar
Monday, March 9, 2015 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
Most work on surgeries in contact manifolds has focused upon determining the situations where tightness is preserved. We will discuss an approach to this problem from the reverse angle: when negative surgery on a fibred knot in an overtwisted contact manifold produces a tight one.  We will examine the various phenomena that occur, and discuss an approach to characterising them via Heegaard Floer homology.