A census of cusped hyperbolic 3-manifolds

Patrick J. Callahan; Martin V. Hildebrand; Jeffrey R. Weeks

doi:10.1090/s0025-5718-99-01036-4

A census of cusped hyperbolic 3-manifolds

Patrick J. Callahan
, Martin V. Hildebrand
, Jeffrey R. Weeks

Mathematics and Statistics

University at Albany

University of Texas at Austin

Research output: Contribution to journal › Article › peer-review

78 Scopus citations

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.

Original language	English
Pages (from-to)	321-332
Number of pages	12
Journal	Mathematics of Computation
Volume	68
Issue number	225
DOIs	https://doi.org/10.1090/s0025-5718-99-01036-4
State	Published - Jan 1999

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title = "A census of cusped hyperbolic 3-manifolds",

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.",

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AB - 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.

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DO - 10.1090/s0025-5718-99-01036-4

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ER -

A census of cusped hyperbolic 3-manifolds

Abstract

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