Loading Events

« All Events

  • This event has passed.

Jae Hwang Lee – PhD Defense

May 17 @ 11:00 am - 12:30 pm

Advisor:  Dr. Mark Shoemaker   Co-Advisor:  Renzo Cavalieri

Committee:  Dr. Chris Peterson, Dr. Alexander Hulpke, Dr. Maria Gillespie, Dr. Hua Chen

Title:  A Quantum H*(T)-module via Quasimap Invariants

Abstract:   For X a smooth projective variety, the quantum cohomology ring QH*(X) is a deformation of the usual cohomology ring H*(X), where the product structure is modified to incorporate quantum corrections. These correction terms are defined using Gromov–Witten invariants. When X is toric with  geometric quotient description V//T, the cohomology ring H*(V// T) also has the structure of a H*(T)-module. In this paper, we introduce a new deformation of the cohomology of X using quasimap invariants with a light point. This defines a quantum H*(T)-module structure on H*(X) through a modified version of the WDVV equations. We explicitly compute this structure for the Hirzebruch surface of type 2. We conjecture that this new quantum module structure is isomorphic to the natural module structure of the Batyrev ring for a semipositive toric variety.


May 17
11:00 am - 12:30 pm


Weber 201

This calendar is used exclusively for events or announcements sponsored by the Department of Mathematics, the College of Natural Sciences or Colorado State University.

Have an event you'd like to add? Submit your request here.