160 citations · 1.4k across the 97 of their papers we have counts for
3 papers · 2 filters
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.
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…