Quantum Topology / Hopf Algebra Seminar
Louis Kauffman
UIC
Quantum Link Invariants
Abstract: Continuing. We have shown how to build a model for the bracket polynomial by using a matrix M with M^2 = I
and the sum of the squares of the entries of M equal to the loop value for the invariant. We examine the solution
to the Yang-Baxter equation that is produced by this model and we show how to generalize it to an arbitrary
ordered index set and then use it to get infinitely many specializations of the Homflypt polynomial. We will use
this as an opportunity to talk about skein polynomials. In the next talk we'll go back to the matrix M and relate
it to representations of the Temperley Lieb algebra and show how it can be used to define the dual of the
quantum group Sl(2)_{q}.
Tuesday September 12, 2017 at 3:00 PM in SEO 612