15 citations · 24 across the 5 of their papers we have counts for
6 papers
On the primitive subspace of Lando framed graph bialgebra
Maksim Karev
Lando framed graph bialgebra is generated by framed graphs modulo 4-term relations. We provide an explicit set of generators of its primitive subspace and a description of the set…
Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
Gaëtan Borot, Norman Do, Maksim Karev +2
Double Hurwitz numbers enumerate branched covers of with prescribed ramification over two points and simple ramification elsewhere. In contrast to the single case,…
Towards the topological recursion for double Hurwitz numbers
Norman Do, Maksim Karev
Single Hurwitz numbers enumerate branched covers of the Riemann sphere with specified genus, prescribed ramification over infinity, and simple branching elsewhere. They exhibit a r…
Monotone orbifold Hurwitz numbers
Norman Do, Maksim Karev
In general, Hurwitz numbers count branched covers of the Riemann sphere with prescribed ramification data, or equivalently, factorisations in the symmetric group with prescribed cy…
The space of framed chord diagrams as a Hopf module
Maksim Karev
This note is dedicated to the study of a Hopf module structures on the space of framed chord diagrams and framed graphs. We also introduce a framed version of the chromatic polynom…
Covers counting via Feynman Calculus
Maksim Karev
Let be a finite group. In this paper we present a tool for counting the number of principle -bundles over a surface. As an application, we express (non-standard) generating…