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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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https://hal.archives-ouvertes.fr/hal-01280165
Contributor : Viet Anh Nguyen <>
Submitted on : Monday, February 29, 2016 - 10:35:54 AM
Last modification on : Monday, March 9, 2020 - 6:15:56 PM
Long-term archiving on: : Monday, May 30, 2016 - 3:53:47 PM

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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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