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

349 citations

Showing 2013Show all

9 papers · 1 filter

math.AG2013

DG-modules over de Rham DG-algebra

Sergey Rybakov

For a morphism of smooth schemes over a regular affine base we define functors of derived direct image and extraordinary inverse image on coderived categories of DG-modules over de…

nlin.SI2013★ 7 cited

Integrability in differential coverings

I. Krasil'shchik

Let be a differential covering of a PDE over . We prove that if possesses infinite numbe…

math.QA2013★ 16 cited

Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations

M. Bershtein, B. Feigin, A. Litvinov

We study the conformal vertex algebras which naturally arise in relation to the Nakajima-Yoshioka blow-up equations.

nlin.SI2013★ 11 cited

Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

We present examples of Lax-integrable multi-dimensional systems of partial differential equations with higher local symmetries. We also consider Lagrangian deformations of these eq…

math.DS2013★ 16 cited

Quadratic-like dynamics of cubic polynomials

Alexander Blokh, Lex Oversteegen, Ross Ptacek +1

A small perturbation of a quadratic polynomial with a non-repelling fixed point gives a polynomial with an attracting fixed point and a Jordan curve Julia set, on which the perturb…

math-ph2013★ 14 cited

Euler elasticae in the plane and the Whitney--Graustein theorem

Sergey Avvakumov, Oleg Karpenkov, Alexey Sossinsky

In this paper, we apply classical energy principles to Euler elasticae, i.e., closed C^2 curves in the plane supplied with the Euler functional U (the integral of the square of the…

math.PR2013★ 1 cited

Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles

Alexei Borodin, Grigori Olshanski

The Thoma cone is an infinite-dimensional locally compact space, which is closely related to the space of extremal characters of the infinite symmetric group. In another context, t…

math.AG2013

A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes

A. Buryak, B. L. Feigin, H. Nakajima

In a recent paper the first two authors proved that the generating series of the Poincare polynomials of the quasihomogeneous Hilbert schemes of points in the plane has a simple de…

math.RT2013★ 2 cited

Lie algebra deformations in characteristic 2

Sofiane Bouarroudj, Alexei Lebedev, Dimitry Leites +1

Of four types of Kaplansky algebras, type-2 and type-4 algebras have previously unobserved -gradings: nonlinear in roots. A method assigning a simple Lie superalgebra…