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arXiv · 1504.07439

Chiodo formulas for the r-th roots and topological recursion

Danilo Lewanski·Alexandr Popolitov·Sergey Shadrin·Dimitri Zvonkine
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Abstract

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.

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Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin, Dimitri Zvonkine. 2015-04-28. Chiodo formulas for the r-th roots and topological recursion. https://doi.org/10.1007/s11005-016-0928-5

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