|
Organizers |
Moduli of Tangle Invariants
by
Charles Frohman
The University of Iowa
It is well known that given a semisimple lie algebra there is a one parameter family of tangle invariants based on the representation theory of the associated quantum group. An understanding of the invariant theory of the quantum group leads to an invariant of tangles based on framed colored graphs. We turn the process on its head. Given a system of colored webs and linear relations between them, what are the invariants of framed links based on them? We get moduli spaces of link polynomials. The components of the moduli space correspond to the representation theory of different algebras.
In this lecture we will describe the theoretical setup for the theory. We will then describe some preliminary results of the author and his students.
Date received: October 10, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-04.