On the constructions of free and locally standard \(\mathbb{Z}_{2}\)-torus actions on manifolds

zbMath1245.57031arXiv1001.0289MaRDI QIDQ411713

Li Yu

Publication date: 30 April 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0289

zbMATH Keywords

\(\mathbb{Z}_2\)-corefree \(\mathbb{Z}_2\)-torus actionsglue-back construction

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Finite transformation groups (57S17) Topology of vector bundles and fiber bundles (57R22)

Cites Work

• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Convex polytopes, Coxeter orbifolds and torus actions
• The orientability of small covers and coloring simple polytopes
• On the classification of \(O(n)\)-manifolds
• Topological types of 3-dimensional small covers
• Equivariant classification of 2-torus manifolds
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