3D TQFT and HOMFLYPT homology
Alexei Oblomkov, Lev Rozansky
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.