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Article Dans Une Revue Lett.Math.Phys. Année : 2017

Chiodo formulas for the r-th roots and topological recursion

Danilo Lewanski
  • Fonction : Auteur
Alexandr Popolitov
  • Fonction : Auteur
Sergey Shadrin
  • Fonction : Auteur

Résumé

We analyze Chiodo’s formulas for the Chern classes related to the r-th roots of the suitably twisted integer powers of the canonical class on the moduli space of curves. The intersection numbers of these classes with $\psi $ -classes are reproduced via the Chekhov–Eynard–Orantin topological recursion. As an application, we prove that the Johnson-Pandharipande-Tseng formula for the orbifold Hurwitz numbers is equivalent to the topological recursion for the orbifold Hurwitz numbers. In particular, this gives a new proof of the topological recursion for the orbifold Hurwitz numbers.

Dates et versions

hal-01554681 , version 1 (03-07-2017)

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Citer

Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin, Dimitri Zvonkine. Chiodo formulas for the r-th roots and topological recursion. Lett.Math.Phys., 2017, 107 (5), pp.901-919. ⟨10.1007/s11005-016-0928-5⟩. ⟨hal-01554681⟩
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