Joint GT-UGA Seminar at GT - Unoriented skein relations for link and tangle invariants in Heegaard Floer theory

Series
Geometry Topology Seminar
Time
Monday, February 19, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mike Wong – LSU
Organizer
Caitlin Leverson
Although the Alexander polynomial does not satisfy an unoriented skein relation, Manolescu (2007) showed that there exists an unoriented skein exact triangle for knot Floer homology. In this talk, we will describe some developments in this direction since then, including a combinatorial proof using grid homology and extensions to the Petkova-Vertesi tangle Floer homology (joint work with Ina Petkova) and Zarev's bordered sutured Floer homology (joint work with Shea Vela-Vick).