2021-11-15 Seminar Report

Professor Todor Milanov gave a talk on his recent research on K-theoretic GW theory. He first recalled the definition of Gromov-Witten invariants and its K-theoretic generalization. Then he mentioned how to use genus 0 GW invariants to define quantum product on the usual cohomology group of a symplectic manifold. Such formulation has deep connection to integrable systems. He then introduced his research results, including a proof of the fact that small J-function in quantum cohomology of a Fano manifold can be obtained as a limit q -->1 of the small J-function in quantum K-theory.

Reported by Yalong Cao

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