English

Curve counting and instanton counting

Algebraic Geometry 2007-05-23 v1

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 ANA_N singularities over P1P^1 reproduce the generating function of equivariant A^\hat{A}-genera of moduli space of instants on C2C^2.

Cite

@article{arxiv.math/0311237,
  title  = {Curve counting and instanton counting},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:math/0311237},
  year   = {2007}
}