Title: Quantum Invariants of 2m-Plats
Speaker: Philip Choi （Chonnam National University）
27 May (Wednesday), 15:30--16:30
51 building, 18 floor, room 18-06
Nishiwaseda Campus, Waseda University
Abstract
We present a method for computing the colored Jones polynomials of 2m-plats. In contrast to the standard approach, where one takes the quantum trace of a braid group representation obtained as a composition of R-matrices acting on tensor powers of a representation, we instead work with reduced-dimensional representations of braid groups adapted to plat closures. As an illustration, we explicitly compute the associated representation in the case of 4-plats.