Topological types of 3-dimensional small covers

DOI10.1515/FORM.2011.008zbMath1222.52015arXiv0710.4496MaRDI QIDQ3168633

Li Yu, Zhi Lü

Publication date: 19 April 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4496

zbMATH Keywords

polytopescoloringtopological types3-dimensional small cover

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) General geometric structures on low-dimensional manifolds (57M50) Finite transformation groups (57S17) Group actions on manifolds and cell complexes in low dimensions (57M60) Polyhedral manifolds (52B70) Equivariant cobordism (57R85)

Related Items

Orbit configuration spaces of small covers and quasi-toric manifolds ⋮ Projective bundles over small covers and the bundle triviality problem ⋮ On the Buchstaber invariant of simple convex 3-polytopes ⋮ On the constructions of free and locally standard \(\mathbb{Z}_{2}\)-torus actions on manifolds ⋮ Small covers over products of a simple polytope with a simplex ⋮ The second Stiefel-Whitney class of small covers

Cites Work

• A representation of orientable combinatorial 3-manifolds
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Convex polytopes, Coxeter orbifolds and torus actions
• A calculus for framed links in \(S^3\)
• Equivariant cohomology, Koszul duality, and the localization theorem
• 2-torus manifolds, cobordism and small covers
• Small covers over prisms
• Equivariant bordism and \((Z_ 2)^ k\) actions
• Three-dimensional manifolds defined by coloring a simple polytope