Quantum Cohomology, Shift Operators, and Coulomb Branches

開催日時
2025/07/03 木 10:30 - 12:00
講演者
Ki Fung Chan
講演者所属
Chinese University of Hong Kong
概要

Given a complex reductive group G and a G-representation N, there is an associated Coulomb branch defined by Braverman, Finkelberg, and Nakajima. If X is a smooth semiprojective variety equipped with a G-action, and f is a G-equivariant proper holomorphic map from X to N, we show that the equivariant big quantum cohomology QH_G(X) defines a quasicoherent sheaf of algebras with coisotropic support on the Coulomb branch. Upon specializing the Novikov and bulk parameters, this sheaf becomes coherent with Lagrangian support. Our proof involves a novel description of the Coulomb branch and a generalization of shift operators using this description.

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