Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles
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math.AGmath.GR
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explicitformulaenumberscombinatorialcompletedcyclesdoublehodge
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We prove two explicit formulae for one-part double Hurwitz numbers with completed 3-cycles. We define "combinatorial Hodge integrals" from these numbers in the spirit of the celebrated ELSV formula. The obtained results imply some explicit formulae and properties of the combinatorial Hodge integrals.
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