Transverse invariants, knot Floer homology and branched covers

Geometry Topology Seminar
Monday, October 30, 2017 - 13:55
1 hour (actually 50 minutes)
Skiles 006
Heegaard Floer theory provides a powerful suite of tools for studying 3-manifolds and their subspaces. In 2006, Ozsvath, Szabo and Thurston defined an invariant of transverse knots which takes values in a combinatorial version of this theory for knots in the 3—sphere. In this talk, we discuss a refinement of their combinatorial invariant via branched covers and discuss some of its properties. This is joint work with Mike Wong.