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arxiv: 1305.1026 · v1 · pith:63HFDZWDnew · submitted 2013-05-05 · 🧮 math.AG · math.CO

Hurwitz-Hodge integral identities from the cut-and-join equation

classification 🧮 math.AG math.CO
keywords hurwitz-hodgeintegralcut-and-joinequationidentitiesapplicationconjecturederived
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In this paper, we present some Hurwitz-Hodge integral identities which are derived from the Laplace transform of the cut-and-join equation for the orbifold Hurwitz numbers. As an application, we prove a conjecture on Hurwitz-Hodge integral proposed by J. Zhou in 2008.

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