34 citations · 416 across the 65 of their papers we have counts for
29 papers · 1 filter
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…
A resolution of singularities for the orbit spaces
Victor M. Buchstaber, Svjetlana Terzic
The problem of the description of the orbit space for the standard action of the torus on a complex Grassmann manifold is widely known and it…
Direct families of polytopes with nontrivial Massey products
Victor Buchstaber, Ivan Limonchenko
The problem of existence of nontrivial Massey products in cohomology of a space is well-known in algebraic topology and homological algebra. A number of problems in complex geometr…
Embeddings of moment-angle manifolds and sequences of Massey products
Victor Buchstaber, Ivan Limonchenko
We show that for any face of a simple polytope the canonical equivariant homeomorphisms and …
Manifolds of isospectral arrow matrices
Anton Ayzenberg, Victor Buchstaber
An arrow matrix is a matrix with zeroes outside the main diagonal, first row, and first column. We consider the space of Hermitian arrow -matrices w…
Manifolds of isospectral matrices and Hessenberg varieties
Anton Ayzenberg, Victor Buchstaber
We study the space of Hermitian matrices having staircase form and the given simple spectrum. There is a natural action of a compact torus on this space. Using generalized To…