GT seminar: "The skein valued topological vertex"

Abstract: We count holomorphic curves in complex 3-space with boundaries on three special Lagrangian solid tori. The count is valued in the HOMFLYPT skein module of the union of the tori. Using 1-parameter families of curves at infinity, we derive three skein valued operator equations that determines the count uniquely. The solution count agrees with the topological vertex from topological string theory. The talk reports on joint work with P. Longhi and V. Shende.

This is a talk in our Geometry and Topology Seminar Series.