When is a Knot Diagram Legendrian?

Geometry Topology Seminar
Monday, September 12, 2016 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Massachusetts
We consider two knot diagrams to be equivalent if they are isotopic without Reidemeister moves, and prove a method for determining if the equivalence class of a knot diagram contains a representative that is the Lagrangian projection of a Legendrian knot.   This work gives us a new tool for determining if a Legendrian knot can be de-stabilized.