Room P3.10, Mathematics Building

Rahul Pandharipande, Princeton University
Gromov-Witten theory and Donaldson-Thomas theory

Let X be a Calabi-Yau 3-fold. GW theory concerns maps of curves to X. Holomorphic Chern-Simons theory, defined by S. Donaldson and R. Thomas in the mid 90's, concerns the moduli ideal sheaves on X. I will describe a conjectural GW/DT correspondence which equates these two theories via a simple change of variables (joint work with D. Maulik, N. Nekrasov, and A. Okounkov).