7 citations · 22 across the 9 of their papers we have counts for
10 papers
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…
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…
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…
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…
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…
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…
Any topological recursion on a rational spectral curve is KP integrable
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove…
Symplectic duality via log topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a c…
Log topological recursion through the prism of swap
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new…
KP integrability through the swap relation
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We discuss a universal relation that we call the swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theo…