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3D TQFT and HOMFLYPT homology

Published 15 Dec 2018 in math.GT, math-ph, and math.MP | (1812.06340v3)

Abstract: We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in $\mathbb{C}2$. The interfaces separating theories with different numbers of points correspond to braid strands. The Hilbert space of the picture of a closed braid is the HOMFLY-PT homology of the corresponding link.

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