A Fock Sheaf for Givental Quantization

TitleA Fock Sheaf for Givental Quantization

 

Speaker Professor Hiroshi Iritani (Kyoto University)

 

Time16:00-17:00 pm, March 12, 2015

 

Place: Conference Room A304, Department of Mathematical Sciences

 

AbstractIn this talk I will describe joint work with Tom Coates (Imperial College London) on a Fock sheaf for Givental quantization.

A quantization formalism for Gromov-Witten theory has been studied by Witten, Givental, Aganagic-Bouchard-Klemm and others and used to describe various important properties (BCOV holomorphic anomaly, Givental's formula, modularity etc) of Gromov-Witten potentials.Starting from a certain generalized variation of Hodge structure (the genus-zero data), we construct a sheaf of Fock spaces on the base of the Hodge variation. On the formal neighbourhood of each point on the base, the Fock space is identified with the set of Givental's tame potentials.

 

ContactYoujin Zhang