Admissible transverse surgery does not preserve tightness
Joint work with John A Baldwin.
Math. Annalen 357 (2013), 441--468.

We produce the first examples of closed, tight contact 3-manifolds which become overtwisted after performing admissible transverse surgeries. Along the way, we clarify the relationship between admissible transverse surgery and Legendrian surgery. We use this clarification to study a new invariant of transverse knots -- namely, the range of slopes on which admissible transverse surgery preserves tightness -- and to provide some new examples of knot types which are not uniformly thick. Our examples also illuminate several interesting new phenomena, including the existence of hyperbolic, universally tight contact 3-manifolds whose Heegaard Floer contact invariants vanish (and which are not weakly fillable)

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