A. Ayzenberg

activity

20102026

most citedTorus actions of complexity one and their local properties

14 citations · 109 across the 30 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.AT2019★ 8 cited

Orbit spaces of equivariantly formal torus actions of complexity one

Anton Ayzenberg, Mikiya Masuda

Let a compact torus $T = T^{n - 1}$ act on an orientable smooth compact manifold $X = X^{2 n}$ effectively, with nonempty finite set of fixed points, and suppose that stabilizers of all p…

math.AT2019★ 2 cited

Topology of misorientation spaces

Anton Ayzenberg, Dmitry Gugnin

Let $G_{1}$ and $G_{2}$ be discrete subgroups of $S O (3)$ . The double quotients of the form $X (G_{1}, G_{2}) = G_{1} \ S O (3) / G_{2}$ were introduced in material science under the name misor…

math.AT2019★ 1 cited

Topology of nerves and formal concepts

Anton Ayzenberg

The general goal of this paper is to gather and review several methods from homotopy and combinatorial topology and formal concepts analysis (FCA) and analyze their connections. FC…

math.AT2019★ 5 cited

Torus actions of complexity one in non-general position

Anton Ayzenberg, Vladislav Cherepanov

Let the compact torus $T^{n - 1}$ act on a smooth compact manifold $X^{2 n}$ effectively with nonempty finite set of fixed points. We pose the question: what can be said about the orb…

math.AT2019

Torus action on quaternionic projective plane and related spaces

Anton Ayzenberg

For an action of a compact torus $T$ on a smooth compact manifold~ $X$ with isolated fixed points the number $\frac{1}{2} dim X - dim T$ is called the complexity of the action. In th…