32 citations · 187 across the 32 of their papers we have counts for
4 papers · 1 filter
A new spin on Hurwitz theory and ELSV via theta characteristics
Alessandro Giacchetto, Reinier Kramer, Danilo Lewański
We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. These numbers are known to be related to Gromov-Wit…
Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewanski, S. Shadrin
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to…
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
Petr Dunin-Barkowski, Danilo Lewanski, Alexandr Popolitov +1
In this paper we present an example of a derivation of an ELSV-type formula using the methods of topological recursion. Namely, for orbifold Hurwitz numbers we give a new proof of…
Chiodo formulas for the r-th roots and topological recursion
Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin +1
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 inters…