A new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\hat{I}\text{c◯}$-classes

Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2

We analyze a new family of weighted double Hurwitz numbers that was introduced as a notable example in the context of the $x-y$ duality for logarithmic topological recursion. We us…