A Fock Sheaf for Givental Quantization

报告题目:A Fock Sheaf for Givental Quantization


报告人: Professor Hiroshi Iritani (Kyoto University)






摘要: In 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.






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