8 citations · 18 across the 8 of their papers we have counts for
8 papers
Differential algebra of polytopes and inversion formulas
V. M. Buchstaber, A. P. Veselov
We use the differential algebra of polytopes to explain the known remarkable relation of the combinatorics of the associahedra and permutohedra with the universal compositional and…
Theta divisors and permutohedra
V. M. Buchstaber, A. P. Veselov
We establish an intriguing relation of the smooth theta divisor with permutohedron and the corresponding toric variety In particular, we show that the generali…
Chern-Dold character in complex cobordisms and theta divisors
V. M. Buchstaber, A. P. Veselov
We show that the smooth theta divisors of general principally polarised abelian varieties can be chosen as irreducible algebraic representatives of the coefficients of the Chern-Do…
Massey products, toric topology and combinatorics of polytopes
Victor Buchstaber, Ivan Limonchenko
In this paper we introduce a direct family of simple polytopes such that for any , there are non-trivial strictly defined Masse…
Fricke identities, Frobenius -characters and Markov equation
V. M. Buchstaber, A. P. Veselov
In 1896 Frobenius and Fricke had published two seemingly unrelated papers: Frobenius had started to develop his theory of -characters for finite groups motivated by Dedekind's q…
Polytopes, Hopf algebras and Quasi-symmetric functions
Victor M. Buchstaber, Nickolai Erokhovets
In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group generated by a…