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Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles

Abstract

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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Dates and versions

hal-01280165 , version 1 (29-02-2016)

Identifiers

  • HAL Id : hal-01280165 , version 1

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Viet Anh Nguyen. Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles. 2016. ⟨hal-01280165⟩
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