3 papers
math.GT2018
An unoriented skein relation via bordered-sutured Floer homology
David Shea Vela-Vick, C. -M. Michael Wong
We show that the bordered-sutured Floer invariant of the complement of a tangle in an arbitrary 3-manifold , with minimal conditions on the bordered-sutured structure, satisfies…
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…