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Quantum K-theory of Nakajima varieties

Algebraic Geometry

Speaker: Andrey Smirnov, UC Berkeley
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Location: 2112 MSB
Start time: Wed, Sep 27 2017, 11:00AM

I will define a commutative deformation of K-theory K(X) for a special class of holomorphic symplectic varieties X (Nakajima quiver varieties). The deformed algebra is known as "quantum K-theory" of X. Its structure constants are given by Gromov-Witten invariants of X. I show that this algebra has a very explicit and simple description in terms of geometric R-matrices defined by Maulik and Okounkov.