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

349 citations

Showing 2014Show all

12 papers · 1 filter

math.CO2014★ 1 cited

Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes

Dmitri I. Panyushev

The set of weights of a finite-dimensional representation of a reductive Lie algebra has a natural poset structure ("weight poset"). Studying certain combinatorial problems related…

math.AG2014★ 22 cited

Derived categories of cyclic covers and their branch divisors

Alexander Kuznetsov, Alexander Perry

Given a variety with a rectangular Lefschetz decomposition of its derived category, we consider a degree cyclic cover ramified over a divisor . We co…

math.AG2014

Refined blowups

D. Kaledin, A. Kuznetsov

Categorical resolution of singularities has been constructed in arXiv:1212.6170. It proceeds by alternating two steps of seemingly different nature. We show how to use the formalis…

math.CO2014★ 7 cited

Determinantal identities for flagged Schur and Schubert polynomials

Grigory Merzon, Evgeny Smirnov

We prove new determinantal identities for a family of flagged Schur polynomials. As a corollary of these identities we obtain determinantal expressions of Schubert polynomials for…

hep-th2014★ 34 cited

The matrix model for hypergeometric Hurwitz numbers

Jan Ambjorn, Leonid Chekhov

We present the multi-matrix models that are the generating functions for branched covers of the complex projective line ramified over fixed points , , (genera…

math.RT2014★ 16 cited

Classification of simple Lie superalgebras in characteristic

Sofiane Bouarroudj, Alexei Lebedev, Dimitry Leites +1

All results concern characteristic 2. Two procedures that to every simple Lie algebra assign simple Lie superalgebras, most of the latter new, are offered. We prove that every simp…

math.RA2014★ 3 cited

Lax operator algebras and gradings on semi-simple Lie algebras

Oleg K. Sheinman

A Lax operator algebra is constructed for an arbitrary semi-simple Lie algebra over equipped with a -grading, and arbitrary compact Riemann surface with mark…

math-ph2014★ 51 cited

Bilinear equations on Painleve tau functions from CFT

M. A. Bershtein, A. I. Shchechkin

In 2012 Gamayun, Iorgov, Lisovyy conjectured an explicit expression for the Painlevé VI ~function in terms of the Liouville conformal blocks with central charge . We prove…

math.CO2014★ 5 cited

An Overview of Transience Bounds in Max-Plus Algebra

Thomas Nowak, Bernadette Charron-Bost

We survey and discuss upper bounds on the length of the transient phase of max-plus linear systems and sequences of max-plus matrix powers. In particular, we explain how to extend…

hep-th2014★ 34 cited

AGT, Burge pairs and minimal models

M. Bershtein, O. Foda

We consider the AGT correspondence in the context of the conformal field theory , where is the minimal model based on…

math.GT2014

How do autodiffeomorphisms act on embeddings

A. Skopenkov

We work in the smooth category. The following problem was suggested by E. Rees in 2002: describe the precomposition action of self-diffeomorphisms of S^p x S^q on the set of isotop…

math.GT2014★ 6 cited

Ribbon graphs and bialgebra of Lagrangian subspaces

Victor Kleptsyn, Evgeny Smirnov

To each ribbon graph we assign a so-called L-space, which is a Lagrangian subspace in an even-dimensional vector space with the standard symplectic form. This invariant generalizes…