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math.SG2017
Transverse braids and combinatorial knot Floer homology
Peter Lambert-Cole, David Shea Vela-Vick
We describe a new method for combinatorially computing the transverse invariant in knot Floer homology. Previous work of the authors and Stone used braid diagrams to combinatoriall…
math.SG2009
Torsion and Open Book Decompositions
John B. Etnyre, David Shea Vela-Vick
We show that if (B,π) is an open book decomposition of a contact 3-manifold (Y,ξ), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Fl…