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arxiv: 1208.4342 · v4 · pith:PQJL564Nnew · submitted 2012-08-21 · 🧮 math.AG · math-ph· math.CO· math.MP

The Gerby Gopakumar-Mari\~no-Vafa Formula

classification 🧮 math.AG math-phmath.COmath.MP
keywords formulaprovecertaincorrespondencecubicdonaldson-thomasfunctionsgerbes
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We prove a formula for certain cubic $\Z_n$-Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov-Witten/Donaldson-Thomas correspondence for local $\Z_n$-gerbes over $\proj^1$.

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