Tue, August 30, 2016
3:00 pm - 4:00 pm
Math Tower 154
Title: Counting (orbi-)disks in the toric setting
Speaker: Hsian-Hua Tseng (The Ohio State University)
Abstract: The moment map associated to the torus action on a symplectic toric manifold X gives a Lagrangian torus fibration. Fukaya-Oh-Ohta-Ono defined invariants that count, in an appropriate sense, holomorphic disks in X whose boundaries lie on a fixed generic moment map fiber L. They used these invariants to study mirror symmetry for toric manifold X. In this talk we'll explain some effective results on these invariants for semi-Fano toric manifolds, and some extensions to toric orbifolds. This is joint work with K. Chan, C.-H. Cho, S.-C. Lau, and N. C. Leung.
Seminar URL: https://research.math.osu.edu/agseminar/