Abstract: |
Schiffmann-Vasserot (for S=A^2) and Negut (for any algebraic surface S) constructed the quantum toroidal algebra action on the Grothendieck group of moduli space of stable sheaves on an algebraic surface. It generalized the cohomological action of Heisenberg algebra by Nakajima, Grojnowski, and Baranovsky, and also generalized the AGT correspondence to the moduli space of stable sheaves. In this talk, we will construct a weak categorification of the above action, and discuss the possible relations of 2-morphisms if time permitted. |