Counting cusped hyperbolic 3-manifolds that bound geometrically

DOI10.1090/tran/7883zbMath1430.57025arXiv1808.05681OpenAlexW2963305178MaRDI QIDQ5206258

Alexander Kolpakov, Stefano Riolo

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05681

zbMATH Keywords

4-manifoldshyperbolic 3-manifoldsnumber of geometrically bounding hyperbolic 3-manifolds

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) General geometric structures on low-dimensional manifolds (57M50) Other types of cobordism (57R90) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Hyperbolic 3-manifolds (57K32)

Related Items (1)

Many cusped hyperbolic 3-manifolds do not bound geometrically

Uses Software

• GitHub
• Orb

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Counting arithmetic lattices and surfaces
• Finiteness of maximal geodesic submanifolds in hyperbolic hybrids
• From the hyperbolic 24-cell to the cuboctahedron
• Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space
• A la recherche de la topologie perdue. 1: Du côté de chez Rohlin. 2: Le côté de Casson
• Euclidean decompositions of noncompact hyperbolic manifolds
• Non-arithmetic groups in Lobachevsky spaces
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• On the geometric boundaries of hyperbolic 4-manifolds
• Embedding arithmetic hyperbolic manifolds
• Hyperbolic Dehn filling in dimension four
• On right-angled reflection groups in hyperbolic spaces.
• Counting hyperbolic manifolds
• Hyperbolic Coxeter \(n\)-polytopes with \(n+2\) facets
• A geometrically bounding hyperbolic link complement
• Triangulations of 3-manifolds, hyperbolic relative handlebodies, and Dehn filling
• Strong rigidity of Q-rank 1 lattices
• The complement of the figure-eight knot geometrically bounds
• Hyperbolic reflection groups
• Almost all regular graphs are hamiltonian
• The Asymptotic Number of Unlabelled Regular Graphs
• Many cusped hyperbolic 3-manifolds do not bound geometrically
• Some hyperbolic three-manifolds that bound geometrically
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Constructing hyperbolic manifolds which bound geometrically
• Notes on right-angled Coxeter polyhedra in hyperbolic spaces.

This page was built for publication: Counting cusped hyperbolic 3-manifolds that bound geometrically