Last Update 2018/07/04
My current research interests have focused on quantum cohomology of generalized flag varieties and related topics. Most of my works have dealt with the genus zero, three-pointed Gromov- Witten invariants of flag varieties as well as certain information on the ring structure of the quantum cohomology. It is a known fact that the quantum cohomology ring of a complete flag variety is isomorphic to the homology ring of a based loop group after localization. I am also interested in finding a K-theoretic analogue.
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