173 research outputs found
Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture
We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz
numbers satisfy the Chekhov-Eynard-Orantin topological recursion.Comment: 11 pages. V2: Updated grant acknowledgments of A.P. and mail address
of R.
Chiodo formulas for the r-th roots and topological recursion
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.Comment: 19 pages, some correction
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