ncku-talk2016-08-29

Algebraic Geometry Seminar

DATE 2016-08-29　14:10-15:10

PLACE 數學館3177教室

SPEAKER Ryo Okawa 博士（京都大學數理解析研究所）

TITLE Instanton 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.

Algebraic Geometry Seminar

DATE	2016-08-29　14:10-15:10

PLACE	數學館3177教室

SPEAKER	Ryo Okawa 博士（京都大學數理解析研究所）

TITLE	Instanton 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.