Tight Surgeries on Knots in Overtwisted Contact Manifolds

Series: 
Geometry Topology Seminar
Monday, March 9, 2015 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
Organizer: 
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.