Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Karev, Maksim"'
Autor:
Fomichev, Daniil, Karev, Maksim
We construct a 4-invariant that extends a specialization of the $\mathfrak{sl}(2)$-weight system at $c = \frac 38$, and satisfies a simple deletion-contraction relation.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2406.15084
We are extending results from \cite{B-Hurwitz} by building a parallel theory of simple Hurwitz numbers for the reflection groups $G(m,1,n)$. We also study analogs of the cut-and-join operators. An algebraic description as well as a description in ter
Externí odkaz:
http://arxiv.org/abs/2403.01963
The general relation between Chekhov-Eynard-Orantin topological recursion and the intersection theory on the moduli space of curves, the deformation techniques in topological recursion, and the polynomiality properties with respect to deformation par
Externí odkaz:
http://arxiv.org/abs/2312.16049
Autor:
Karev, Maksim
Publikováno v:
Communications in Mathematics, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) (January 15, 2024) cm:11626
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 of relations between the generators. We also define an operation of le
Externí odkaz:
http://arxiv.org/abs/2307.00468
Publikováno v:
In Journal of Geometry and Physics January 2025 207
Publikováno v:
Math. Annalen (2022)
Double Hurwitz numbers enumerate branched covers of $\mathbb{CP}^1$ with prescribed ramification over two points and simple ramification elsewhere. In contrast to the single case, their underlying geometry is not well understood. In previous work by
Externí odkaz:
http://arxiv.org/abs/2002.00900
Autor:
Do, Norman, Karev, Maksim
Single Hurwitz numbers enumerate branched covers of the Riemann sphere with specified genus, prescribed ramification over infinity, and simple branching elsewhere. They exhibit a remarkably rich structure. In particular, they arise as intersection nu
Externí odkaz:
http://arxiv.org/abs/1811.05107
Autor:
Do, Norman, Karev, Maksim
In general, Hurwitz numbers count branched covers of the Riemann sphere with prescribed ramification data, or equivalently, factorisations in the symmetric group with prescribed cycle structure data. In this paper, we initiate the study of monotone o
Externí odkaz:
http://arxiv.org/abs/1505.06503
Autor:
Karev, Maksim
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 polynomial and propose two methods to construct framed weight systems.
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Externí odkaz:
http://arxiv.org/abs/1404.0026
Autor:
Karev, Maksim
Let $G$ be a finite group. In this paper we present a tool for counting the number of principle $G$-bundles over a surface. As an application, we express (non-standard) generating functions for double Hurwitz numbers as integrals over commutative Fro
Externí odkaz:
http://arxiv.org/abs/1204.2480