5 citations · 5 across the 2 of their papers we have counts for
6 papers · 1 filter
On the Goulden-Jackson-Vakil conjecture for double Hurwitz numbers
Norman Do, Danilo Lewański
Goulden, Jackson and Vakil observed a polynomial structure underlying one-part double Hurwitz numbers, which enumerate branched covers of with prescribed ramificati…
Wall-crossing and recursion formulae for tropical Jucys covers
Marvin Anas Hahn, Danilo Lewanski
In recent work, the authors derived a tropical interpretation of monotone and strictly monotone double Hurwitz numbers. In this paper, we apply the technique of tropical flows to t…
Harer-Zagier formula via Fock space
Danilo Lewanski
The goal of this note is to provide a very short proof of Harer-Zagier formula for the number of ways of obtaining a genus g Riemann surface by identifying in pairs the sides of a…
Tropical Jucys Covers
Marvin Anas Hahn, Danilo Lewanski
We study monotone and strictly monotone Hurwitz numbers from a bosonic Fock space perspective. This yields to an interpretation in terms of tropical geometry involving local multip…
On ELSV-type formulae, Hurwitz numbers and topological recursion
Danilo Lewanski
We present several recent developments on ELSV-type formulae and topological recursion concerning Chiodo classes and several kind of Hurwitz numbers. The main results appeared in D…
-algebra constraints and topological recursion for -singularity
Todor Milanov, Danilo Lewanski
We derive a Bouchard--Eynard type topological recursion for the total descendant potential of -singularity. Our argument relies on a certain twisted representation of a Heisen…