activity
20122026
most citedPolynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula

40 citations · 355 across the 28 of their papers we have counts for

collaborators

29 papers

math.AG2026

A prismatic Riemann-Hilbert correspondence

Dylan Pentland

We study the category of constructible -Kummer-étale sheaves on the log adic generic fiber for the stratification induced by a horizont…

math.AG2026

A new family of weighted double Hurwitz numbers and a new ELSV-type formula with -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 duality for logarithmic topological recursion. We us…

math.AG2025

A new spin on polynomial relations among kappa classes

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

We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algeb…

math-ph2025

Blobbed topological recursion and KP integrability

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

We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily adm…

math-ph2024

KP integrability of non-perturbative differentials

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

We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal -deformation of the Krichever construction of algebro-geometric…

math-ph2024★ 6 cited

Degenerate and irregular topological recursion

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

We use the theory of duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recurs…