Haken 3-manifolds in small covers

DOI10.1007/s11401-023-0031-zOpenAlexW4388078985MaRDI QIDQ6063481

Lisu Wu, Li Yu

Publication date: 7 November 2023

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-023-0031-z

zbMATH Keywords

Haken manifoldincompressible surfacesmall coverflag polytope

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) General geometric structures on low-dimensional manifolds (57M50) Finite transformation groups (57S17) Geometric structures on manifolds of high or arbitrary dimension (57N16) General topology of 3-manifolds (57K30) Toric topology (57S12)

Cites Work

• The Borel conjecture for hyperbolic and CAT(0)-groups
• Small covers, infra-solvmanifolds and curvature
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Convex polytopes, Coxeter orbifolds and torus actions
• Coxeter groups are virtually special
• Nonpositive curvature of blow-ups
• The orientability of small covers and coloring simple polytopes
• Four-dimensional Haken cobordism theory
• Topological rigidity for non-aspherical manifolds
• On irreducible 3-manifolds which are sufficiently large
• Introduction to the theory of Haken 𝑛-manifolds
• Combinatorics of Coxeter Groups
• Fundamental Groups of Small Covers Revisited
• Mixed 3-manifolds are virtually special
• Virtual cubulation of nonpositively curved graph manifolds
• Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes
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