Speaker: Sergey Galkin

Title: Homotopy quantization

Date: May 27, 2015


I will describe a way how to refine the curve counting on a toric surface by taking into account the second homotopy group of the surface minus a real circle relative to a Lagrangian torus. To a real type I curve with purely real coordinate intersections we associate a holomorphic disc whose class in the relative homotopy group encodes a quantum index of a curve. This is a joint work with Grigory Mikhalkin.