Title: A Diagrammatic Calculus For Legendrian Surfaces
Speaker: Eric Zaslow
Speaker Info: Northwestern
Brief Description: Research talk
Special Note:
Abstract:
Meeting ID: 922-4351-6463Date: Thursday, June 18, 2020Meeting Password: first word of the name of the seminar
Abstract: I will describe work with Roger Casals. We show how planar diagrams called N-graphs encode Legendrian surfaces which cover the plane N-to-1. These N-graphs can be used to express Reidemeister moves, surgeries, and connect sums; to describe a Markov move a` la braids; to construct large classes of examples of any genus; to define moduli spaces which can be used to distinguish surfaces up to Legendrian isotopy; to construct exact Lagrangian fillings; and to define a (hopefully interesting) planar algebra.