The number of orientable small covers over cubes

Abstract

We count orientable small covers over cubes. We also get estimates for $O_n/R_n$, where $O_n$ is the number of orientable small covers and $R_n$ is the number of all small covers over an $n$-cube up to the Davis-Januszkiewicz equivalence.

6 pages, 1 figure

References in corpus (3)

• Semifree circle actions, Bott towers, and quasitoric manifolds
• The number of small covers over cubes
• Classification of real Bott manifolds

Cited by in corpus (4)

• Projective bundles over small covers and topological triviality problem
• Real Bott manifolds and acyclic digraphs
• Rank gradient of small covers
• Symplectic real Bott manifolds