Jian Zhou
Published 2003-11-14Version 1
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 $C^2$.
The moduli space of 8 points on ${\bf P}^1$ and automorphic forms
Curve Counting à la Göttsche
Curve counting on abelian surfaces and threefolds
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