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

Published 5 May 2013 in math.AG and math.CO | (1305.1026v1)

Abstract: 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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