Transverse Surgery on Knots in Contact 3-Manifolds

Series: 
Dissertation Defense
Tuesday, April 19, 2016 - 10:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
Organizer: 
This thesis studies the effect of transverse surgery 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.