Date: Wednesday, October 13, 2021
Location: 4088 East Hall (2:30 PM to 4:00 PM)
Title: HOMFLY(PT) polynomials II
Abstract: We introduce an explicit formula for the twovariable HOMFLY(PT) polynomial based on a trace on the Hecke algebra H_n(q) due to Ocneanu. In particular, this trace could be computed as a sum over Young diagrams corresponding to partitions of n. Then, we will focus on the case of torus knots, where the formula simplifies significantly. Finally, we establish the connection between coefficients of the HOMFLY polynomial of torus knots and qanalogs of Catalan numbers.
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Speaker: Yutong Li
Institution: UM
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