3D TQFT and HOMFLYPT homology. (English) Zbl 1540.57045
Summary: 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.
Keywords:
knot homology; TQFT; matrix factorizations; Kapustin-Rozansky-Saulina models; bow varietiesReferences:
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