14 citations · 18 across the 3 of their papers we have counts for
3 papers
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 be 2n-dimensional compact manifold with a locally standard action of a compact torus. The orbit space is a manifold with corners. Suppose that all proper faces of $X/…
math.CO2010★ 14 cited
The problem of Buchstaber number and its combinatorial aspects
Anton Ayzenberg
For any simplicial complex on m vertices a moment-angle complex Z_K embedded in C^m can be defined. There is a canonical action of a torus T^m on Z_K, but this action fails to be f…