35 citations · 212 across the 36 of their papers we have counts for
5 papers · 1 filter
The number of orientable small covers over cubes
Suyoung Choi
We count orientable small covers over cubes. We also get estimates for , where is the number of orientable small covers and is the number of all small covers o…
Topological classification of generalized Bott towers
Suyoung Choi, Mikiya Masuda, Dong Youp Suh
If is a toric manifold and is a Whitney sum of complex line bundles over , then the projectivization of is again a toric manifold. Starting with as a poin…
Toric cohomological rigidity of simple convex polytopes
Suyoung Choi, Taras Panov, Dong Youp Suh
A simple convex polytope is \emph{cohomologically rigid} if its combinatorial structure is determined by the cohomology ring of a quasitoric manifold over . Not every ha…
The number of small covers over cubes
Suyoung Choi
In the present paper we find a bijection between the set of small covers over an -cube and the set of acyclic digraphs with labeled nodes. Using this, we give a formula of t…
Quasitoric manifolds over a product of simplices
Suyoung Choi, Mikiya Masuda, Dong Youp Suh
A quasitoric manifold (resp. a small cover) is a -dimensional (resp. an -dimensional) smooth closed manifold with an effective locally standard action of (resp. $(…