Room 3177, Department of Mathematics, NCKU
(成功大學數學系 3177室)
Instanton Counting on the Minimal Resolution of the A_1 Singularity
Ryo Ohkawa (Waseda University)
In this talk, we consider different versions of Nekrasov
partition functions.These are generating functions of integrations over moduli of framed sheaves on resolutions of the A_1 singularity. We consider two resolutions, the minimal resolution and the stacky resolution, that is, the quotient stack of the projective plane by the cyclic group of order 2. I will show functional equations between Nekrasov partition functions
defined from these two resolutions. This is a kind of McKay correspondence.