(Continuously being updated)

Tobias Ekholm: Legendrian SFT of link conormals and HOMFLY-polynomials

Connections between Chern-Simons theory and open topological string together with large N duality implies a relation between open Gromov-Witten invariants of knot conormals in the resolved conifold and colored HOMFLY polynomials. We give a definition of open Gromov-Witten invariants in terms of holomorphic curves and extra geometric data. We use it to give a holomorphic curve proof of the skein relation for the HOMFLY -polynomial and to show how the corresponding Legendrian SFT contains information of both the colored HOMFLY itself and, in a fairly accessible way, its recursion relation.