output
19952026
most citedHurwitz numbers and intersections on moduli spaces of curves

349 citations

Showing 2017Show all

8 papers · 1 filter

nlin.SI2017★ 2 cited

Reductions of the universal hierarchy and rdDym equations and their symmetry properties

P. Holba, I. S. Krasil'shchik, O. I. Morozov +1

We consider the equations and that arise as reductions of the universal hierarchy and…

math-ph2017★ 7 cited

Mode matching methods for spectral and scattering problems

A. Delitsyn, D. S. Grebenkov

We present several applications of mode matching methods in spectral and scattering problems. First, we consider the eigenvalue problem for the Dirichlet Laplacian in a finite cyli…

math-ph2017★ 49 cited

Cluster integrable systems, q-Painleve equations and their quantization

M. Bershtein, P. Gavrylenko, A. Marshakov

We discuss the relation between the cluster integrable systems and -difference Painlevé equations. The Newton polygons corresponding to these integrable systems are all 16 conve…

math.RT2017★ 8 cited

On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2

Andrey Krutov, Alexei Lebedev

The ground field in the text is of characteristic 2. The classification of modulo 2 gradings of simple Lie algebras is vital for the classification of simple finite-dimensional Lie…

hep-th2017★ 9 cited

Twist-field representations of W-algebras, exact conformal blocks and character identities

M. Bershtein, P. Gavrylenko, A. Marshakov

We study the twist-field representations of W-algebras and generalize construction of the corresponding vertex operators to D- and B-series. It is shown, how the computation of cha…

math.AG2017★ 1 cited

The Resultant of Developed Systems of Laurent Polynomials

Askold Khovanskii, Leonid Monin

Let be the {\it -resultant} (see below) of -tuple of Laurent polynomials. We provide an algorithm for computing assuming that an -tuple…

math.GT2017★ 4 cited

Hardness of almost embedding simplicial complexes in

Arkadiy Skopenkov, Martin Tancer

A map of a simplicial complex is an almost embedding if whenever are disjoint simplices of . Theorem. Fix integers $d,…

math.CV2017

Cheap Complex Limit Cycles

Nataliya Goncharuk, Yury Kudryashov

Consider a holomorphic foliation with singularities of a 2-dimensional complex manifold. In this article we prove a new sufficient condition for this foliation to have countably ma…