Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds

DOI10.2140/agt.2021.21.2627zbMath1478.57025arXiv2005.11256OpenAlexW3209235940MaRDI QIDQ2667205

Michelle Chu, Alan W. Reid

Publication date: 24 November 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11256

zbMATH Keywords

arithmetictotally geodesiccusped hyperbolic manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) General topology of 4-manifolds (57K40)

Related Items

Cusps and commensurability classes of hyperbolic 4-manifolds, Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in \(S^4\)

Cites Work

• Arithmetic subgroups of algebraic groups
• Closed incompressible surfaces in complements of star links
• Incompressible surfaces in 2-bridge knot complements
• Incompressible surfaces in punctured-torus bundles
• The topology of 4-manifolds
• Incompressibility of surfaces in surgered 3-manifolds
• On the first Betti number of a constant negatively curved manifold
• Tubular neighborhood of totally geodesic hypersurfaces in hyperbolic manifolds
• Embeddability of noncompact hyperbolic manifolds as complements of codimension-1 and -2 submanifolds
• The orientable cusped hyperbolic \(3\)-manifolds of minimum volume
• Finite volume hyperbolic complements of 2-tori and Klein bottles in closed smooth simply connected 4-manifolds
• Embedding arithmetic hyperbolic manifolds
• The Bianchi groups are separable on geometrically finite subgroups.
• New hyperbolic 4-manifolds of low volume
• On odd rank integral quadratic forms: canonical representatives of projective classes and explicit construction of integral classes with square-free determinant
• Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure
• Einlagerung von Mannigfaltigkeiten in euklidische Räume
• Minimum volume cusped hyperbolic three-manifolds
• Arcbodies
• Incompressible Surfaces in Once-Punctured Torus Bundles
• Hyperbolic structure on a complement of tori in the 4-sphere
• The Volume Spectrum of Hyperbolic 4-Manifolds
• Gravitational instantons of constant curvature
• A topological 4-sphere that is standard
• SMALL CURVATURE SURFACES IN HYPERBOLIC 3-MANIFOLDS
• Embeddings of 3-Manifolds in S⁴ from the Point of View of the 11-Tetrahedron Census
• Dehn surgery on knots