Algebraic Geometry Seminar

DATE2016-08-29 14:10-15:10


SPEAKERRyo Okawa 博士(京都大學 數理解析研究所

TITLEInstanton Counting on the Minimal Resolution of the A_1 Singularity

ABSTRACT 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.