Curve counting and instanton counting

2003/11/14 by Jian Zhou, Zhou, Jian
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0311237

arxiv created 2003/11/14 · arxiv updated 2009/12/01

Abstract

We prove some combinatorial results required for the proof of the following conjecture of Nekrasov: The generating function of closed string invariants in local Calabi-Yau geometries obtained by appropriate fibrations of A_N singularities over P¹ reproduce the generating function of equivariant A-genera of moduli space of instants on C².

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