4th March 2020: Skeins on branes

Tobias Hekholm (Uppsala University)

Title: Skeins on branes

Abstract: We give an enumerative interpretation of coefficients of the HOMFLY polynomial of a knot in the 3-sphere as a count of holomorphic curves with boundary on a version of the Lagrangian conormal of the knot in the resolved conifold. A key ingredient in the proof is the definition of counts of holomorphic curves with boundary in the skein module of the Lagrangian brane where they have their boundary. The talk reports on joint work with Vivek Shende.

Villa Battelle, Wednesday 4th March, 16:00

This seminar is part of the symplectic geometry seminar, jointly with Université de Neuchâtel.