Quantum Topology Seminar
Louis H Kauffman
UIC
Marker States, Jordan Euler Trails and Invariants of Knots and Knotoids
Abstract: This talk will recall the properties of a state summation for the Conway-Aleander polynomial based on states of the diagram first introduced in
the book “Formal Knot Theory” by Kauffman. These states are in 1-1 correspondence with walks on the diagram that use every edge and do not cross at any
crossing. We will discuss how the model for the Alexander polynomial works using these states, how they are related to Heegaard-Floer Homology and how, in joint work with
Neslihan Gugumcu we are using a generalization of the states to explore a new invariant of knotoids.
Thursday May 13, 2021 at 12:00 PM in Zoom