New hyperbolic 4-manifolds of low volume

DOI10.2140/agt.2019.19.2653zbMath1434.57015arXiv1710.07534OpenAlexW3105073069WikidataQ126983881 ScholiaQ126983881MaRDI QIDQ2279066

Stefano Riolo, Leone Slavich

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1710.07534

zbMATH Keywords

hyperbolic 4-manifoldscommensurability classminimal volume manifolds

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Geometric structures on manifolds of high or arbitrary dimension (57N16) General topology of 4-manifolds (57K40)

Related Items (7)

Geometric transition from hyperbolic to anti-de Sitter structures in dimension four ⋮ Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds ⋮ Small‐volume hyperbolic manifolds constructed from Coxeter groups ⋮ A small cusped hyperbolic 4‐manifold ⋮ Virtually spinning hyperbolic manifolds ⋮ A small closed convex projective 4-manifold via Dehn filling ⋮ Mini-workshop: Reflection groups in negative curvature. Abstracts from the mini-workshop held April 7--13, 2019

Cites Work

• Unnamed Item
• On commensurable hyperbolic Coxeter groups
• On the optimality of the ideal right-angled 24-cell
• Commensurability classes of discrete arithmetic hyperbolic groups
• From the hyperbolic 24-cell to the cuboctahedron
• Non-arithmetic groups in Lobachevsky spaces
• Hyperbolic Dehn filling in dimension four
• The complement of the figure-eight knot geometrically bounds
• Minimum volume cusped hyperbolic three-manifolds
• Hyperbolic four-manifolds
• Small volume closed hyperbolic 4-manifolds
• The Noncompact Hyperbolic 3-Manifold of Minimal Volume
• The Volume Spectrum of Hyperbolic 4-Manifolds
• Symmetries of Hyperbolic 4-Manifolds
• Compact hyperbolic 4-manifolds of small volume

This page was built for publication: New hyperbolic 4-manifolds of low volume