Quantum affine Gelfand–Tsetlin bases and quantum toroidal algebra via K-theory of affine Laumon spaces

摘要

Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GL _n . We construct the action of the quantum loop algebra in the K-theory of Laumon spaces by certain natural correspondences. Also we construct the action of the quantum toroidal algebra Ü _v in the K-theory of the affine version of Laumon spaces.