Transverse Surgery on Knots in Contact 3-Manifolds

Dissertation Defense
Tuesday, April 19, 2016 - 10:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
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.