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Curve counting and instanton counting

Jian Zhou
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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 $P^1$ reproduce the generating function of equivariant $\hat{A}$-genera of moduli space of instants on $C^2$.

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Jian Zhou. 2003-11-14. Curve counting and instanton counting. https://arxiv.org/abs/math/0311237

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