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Random Walk Invariants of String Links via Representation Theory
by
Yilong Wang
The Ohio State University
Coauthors: Thomas Kerler, The Ohio State University
In this talk, we will introduce two representations of the monoid of string links, one coming from the random walk model proposed by X.S. Lin et al, the other arising as the quotient between the restriction of a graded U-1(sl2) representation to its degree 1 component and that to its degree 0 component. We will show briefly how both of the representations can be viewed as generalizations of the unreduced Burau representations on the braid group. Then we will state our main result claiming that these two representations are actually isomorphic, and if time permits, we will give a hint on the proof of the theorem.
Date received: May 6, 2014
Copyright © 2014 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 # cbjb-08.