Anton Ayzenberg

activity

20102023

most citedThe problem of Buchstaber number and its combinatorial aspects

14 citations · 18 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AT2023

Coverings by open and closed hemispheres

Anton Ayzenberg, Maxim Beketov, German Magai

In this paper we study the nerves of two types of coverings of a sphere $S^{d - 1}$ : (1) coverings by open hemispheres; (2) antipodal coverings by closed hemispheres. In the first ca…

math.AT2014

Toric origami structures on quasitoric manifolds

Anton Ayzenberg, Mikiya Masuda, Seonjeong Park +1

We construct quasitoric manifolds of dimension 6 and higher which are not equivariantly homeomorphic to any toric origami manifold. All necessary topological definitions and combin…

math.AT2014★ 4 cited

Homology of torus spaces with acyclic proper faces of the orbit space

Anton Ayzenberg

Let $X$ be 2n-dimensional compact manifold with a locally standard action of a compact torus. The orbit space $X / T$ is a manifold with corners. Suppose that all proper faces of $X/…