A topological model for the HOMFLY-PT polynomial
A topological model for the HOMFLY-PT polynomial
We give the first known topological model for the HOMFLY-PT polynomial. More precisely, we prove that this invariant is given by a set of graded intersections between explicit Lagrangian submanifolds in a fixed configuration space on a Heegaard surface for the link exterior. The submanifolds are supported on arcs and …