Skeins on tori

Abstract: We study skeins on the 2-torus and 3-torus via the representation theory of the double affine Hecke algebra of type A and its connection to quantum D-modules. As an application we can compute the dimension of the generic $SL_N$- and $GL_N$-skein module of the 3-torus for arbitrary N. This is joint work with Sam Gunningham and David Jordan.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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