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Parabolic defects in a topological twist of 4D super Yang Mills

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

Parabolic reduction along the Borel subgroups B of a reductive group G gives rise to a family of defects in a topological twist of 4D N=2 super Yang Mills theory. We will see how this story manifests in skein theory. Our motivating application is the quantisation of a knot invariant called the A-polynomial, built from the moduli space of G-local systems on the knot’s complement, and conjectured to control the recursive properties of the colored Jones polynomial. This talk is based on joint work with David Jordan.

This talk is part of the Isaac Newton Institute Seminar Series series.

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