Back to Algebraic Geometry Seminar: Spring 2013
Algebraic Geometry Seminar
Date: Tuesday, Mar 19, 2013
Time: 3:30PM - 4:30PM
Location: LCB 215
Bumsig Kim
KIAS
Title |
Quasimap invariants and mirror maps |
Abstract |
The moduli spaces of stable quasimaps unify various moduli appearing in the study of Gromov-Witten Theory. We introduce big I-functions as the quasimap version of J-functions, generalizing Givental’s small I-functions of smooth toric complete intersections. The J-functions are the GW counterparts of periods of mirror families. We discuss some advantages of I-functions, in particular an explanation of mirror maps. This is joint work with I. Ciocan-Fontanine. If time permitted, I will also report on the stable quasimaps for orbifold targets and I-functions of toric orbifolds. This is joint work with I. Ciocan-Fontanine and D. Cheong. |
Algebraic Geometry