The transverse invariant and braid dynamics

Geometry Topology Seminar
Monday, October 15, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Skile 006
Lev Tovstopyat-Nelip – Boston College
John Etnyre
Let K be a link braided about an open book (B,p) supporting a contact manifold (Y,x). K and B are naturally transverse links. We prove that the hat version of the transverse link invariant defined by Baldwin, Vela-Vick and Vertesi is non-zero for the union of K with B. As an application, we prove that the transverse invariant of any braid having fractional Dehn twist coefficient greater than one is non-zero. This generalizes a theorem of Plamenevskaya for classical braid closures.