Transverse Surgery on Knots in Contact 3-Manifolds

Series: 
Geometry Topology Seminar
Wednesday, August 27, 2014 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
Organizer: 
We will define transverse surgery, and study its effects on open books, the Heegaard Floer contact invariant, and tightness.  We show that surgery on the connected binding of a genus g open book that supports a tight contact structure preserves tightness if the surgery coefficient is greater than 2g-1.  We also give criteria for when positive contact surgery on Legendrian knots will result in an overtwisted manifold.