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math.GT2014★ 11 cited
Transverse Surgery on Knots in Contact 3-Manifolds
James Conway
We study the effect of surgery on transverse knots in contact 3-manifolds. In particular, we investigate the effect of such surgery on open books, the Heegaard Floer contact invari…
math.GT2014★ 3 cited
Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
James Conway, Amey Kaloti, Dheeraj Kulkarni
In this note, we exhibit infinite families of tight non-fillable contact manifolds supported by planar open books with vanishing Heegaard Floer contact invariants. Moreover, we als…