Quantum A-polynomial from TQFT

Abstract: The classical A-polynomial of a knot encodes the "peripheral map" from the fundamental group of the two-torus to the fundamental group of the knot complement. Much work has gone into studying various q-deformations of the A-polynomial, known as the quantum A-polynomial, and its relationship to the Jones polynomial. In this talk, I will report on joint work with Jennifer Brown, which constructs the quantum A-polynomial using skein modules with defects, refining an earlier construction of Dimofte involving cluster algebras.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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