Knots and Links in overtwisted contact structures

Geometry Topology Seminar
Monday, November 2, 2020 - 2:00pm for 1 hour (actually 50 minutes)
on line
Rima Chatterjee – LSU
John Etnyre

Please Note: Knots/links associated to overtwisted contact structures have been less explored. There are two types of knots/links in overtwisted contact manifolds, namely loose and non-loose. In this talk, I will start with an overview of these knots and then discuss some of my recent work involving these knots and links. Specifically, I will talk about a coarse classification result of loose, null-homologous Legendrian and transverse links . Next relating them with open book decompositions, I will show that coarse equivalence class of loose null-homologous Legendrian links has support genus zero. I will end with some interesting open questions.