34 citations · 416 across the 65 of their papers we have counts for
72 papers
A solution to the quantum Yang--Baxter equation associated with a universal two-valued algebraic group
Victor M. Buchstaber
We construct spectral-parameter solutions of the quantum Yang--Baxter equation from the associativity condition of the universal symmetric -algebraic two-valued group, whose mul…
Todd polynomials and Hirzebruch numbers
Victor M. Buchstaber, Alexander P. Veselov
In 1956 Hirzebruch found an explicit formula for the denominators of the Todd polynomials, which was proved later in his joint work with Atiyah. We present a new formula for the To…
Random eigenvalues of graphenes and the triangulation of plane
Artur Bille, Victor Buchstaber, Simon Coste +2
We analyse the numbers of closed paths of length on two important regular lattices: the hexagonal lattice (also called in chemistry) and its du…
Classification of involutive commutative two-valued groups
Victor M. Buchstaber, Alexander A. Gaifullin, Alexander P. Veselov
A complete classification of finitely generated involutive commutative two-valued groups is obtained. Three series of such two-valued groups are constructed: principal, unipotent a…
Cluster-permutohedra and submanifolds of flag varieties with torus actions
Anton Ayzenberg, Victor Buchstaber
In this paper we describe a relation between the notion of graphicahedron, introduced by Araujo-Pardo, Del R\'ıo-Francos, López-Dudet, Oliveros, and Schulte in 2010, and toric topo…
Hyperelliptic sigma functions and Adler-Moser polynomials
V. M. Buchstaber, E. Yu. Bunkova
In a 2004 paper by V. M. Buchstaber and D. V. Leykin, published in "Functional Analysis and Its Applications," for each , a system of multidimensional heat equations in…