Orientability and Open Gromov-Witten Invariants

Joint IAS-PU Symplectic Geometry Seminar
Topic:Orientability and Open Gromov-Witten Invariants
Speaker:Penka Georgieva
Affiliation:Princeton University
Date:Friday, November 11
Time/Room:4:30pm - 5:30pm/West Building Lecture Hall

I will first discuss the orientability of the moduli spaces of J-holomorphic maps with Lagrangian boundary conditions. It is known that these spaces are not always orientable and I will explain what the obstruction depends on. Then, in the presence of an anti-symplectic involution on the target, I will give a construction of open Gromov-Witten disk invariants. This is a generalization to higher dimensions of the works of Cho and Solomon, and is related to the invariants defined by Welschinger