160 citations · 1.4k across the 97 of their papers we have counts for
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Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture
Reinier Kramer, Alexandr Popolitov, Sergey Shadrin
We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz numbers satisfy the Chekhov-Eynard-Orantin topological recursion.
Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion
Boris Bychkov, Petr Dunin-Barkowski, Sergey Shadrin
In this paper we prove, in a purely combinatorial way, a structural quasi-polynomiality property for the Bousquet-Mélou-Schaeffer numbers. Conjecturally, this property should follo…
Loop equations and a proof of Zvonkine's -ELSV formula
Petr Dunin-Barkowski, Reinier Kramer, Alexandr Popolitov +1
We prove the 2006 Zvonkine conjecture that expresses Hurwitz numbers with completed cycles in terms of intersection numbers with the Chiodo classes via the so-called -ELSV formu…
Buryak-Okounkov formula for the -point function and a new proof of the Witten conjecture
Alexander Alexandrov, Francisco Hernández Iglesias, Sergey Shadrin
We identify the formulas of Buryak and Okounkov for the n-point functions of the intersection numbers of psi-classes on the moduli spaces of curves. This allows us to combine the e…
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Elba Garcia-Failde, Reinier Kramer, Danilo Lewański +1
We employ the -spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proporti…