Department of Mathematics

Geometry and Topology

  •  Lev Tovstopyat-Nelip , Boston College
  •  The transverse invariant and braid dynamics
  •  12/06/2018
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall

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. We discuss geometric consequences and future directions.

 

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Department of Mathematics
Michigan State University
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