A census of cusped hyperbolic 3-manifolds-Reference-Cited by-同舟云学术

A census of cusped hyperbolic 3-manifolds

Published:1999 Issue:225 Volume:68 Page:321-332
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Callahan Patrick,Hildebrand Martin,Weeks Jeffrey

Abstract

The census provides a basic collection of noncompact hyperbolic 3-manifolds of finite volume. It contains descriptions of all hyperbolic 3-manifolds obtained by gluing the faces of at most seven ideal tetrahedra. Additionally, various geometric and topological invariants are calculated for these manifolds. The findings are summarized and a listing of all manifolds appears in the microfiche supplement.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1999-68-225/S0025-5718-99-01036-4/S0025-5718-99-01036-4.pdf

Reference14 articles.

1. The noncompact hyperbolic 3-manifold of minimal volume;Adams, Colin C.;Proc. Amer. Math. Soc.,1987

2. Minimum ideal triangulations of hyperbolic 3-manifolds;Adams, Colin;Discrete Comput. Geom.,1991

3. [E] J. Emert, private communication.

4. Euclidean decompositions of noncompact hyperbolic manifolds;Epstein, D. B. A.;J. Differential Geom.,1988

5. A computer generated census of cusped hyperbolic 3-manifolds;Hildebrand, Martin,1989

Cited by 69 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A-polynomials of fillings of the Whitehead sister;International Journal of Mathematics;2023-10-04

2. Four-manifolds with shadow-complexity one;Annales de la Faculté des sciences de Toulouse : Mathématiques;2022-10-28

3. Hyperbolic 4-manifolds with perfect circle-valued Morse functions;T AM MATH SOC;2021-08-22

4. A note on the orderability of Dehn fillings of the manifold v2503;Journal of Knot Theory and Its Ramifications;2020-10

5. Embeddings of 3-Manifolds in S4 from the Point of View of the 11-Tetrahedron Census;Experimental Mathematics;2020-04-16