Curve counting and instanton counting

Details Curve counting and instanton counting Curve counting and instanton counting

2003-11-14

arxiv.org/abs/math/0311237v1

Mathematics

Algebraic Geometry

Scientific paper

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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