14 citations · 109 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
Cohomology of toric origami manifolds with acyclic proper faces
Anton Ayzenberg, Mikiya Masuda, Seonjeong Park +1
A toric origami manifold is a generalization of a symplectic toric manifold (or a toric symplectic manifold). The origami symplectic form is allowed to degenerate in a good control…
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/…
Buchstaber numbers and classical invariants of simplicial complexes
Anton Ayzenberg
Buchstaber invariant is a numerical characteristic of a simplicial complex, arising from torus actions on moment-angle complexes. In the paper we study the relation between Buchsta…