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A Computer Generated Census of Cusped Hyperbolic 3-Manifolds

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Computers and Mathematics

Abstract

In this paper, we describe how we used a computer to produce a census of cusped hyperbolic 3-manifolds obtained from 5 or fewer ideal tetrahedra. We note some of the techniques involved in writing and debugging the programs and give a brief summary of the results.

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References

  1. , [Mu], and [Sp] provide general background to topology and geometry while the other references are specialized to hyperbolic 3-manifolds.

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  2. C. Adams, M. Hildebrand, and J. Weeks. “Hyperbolic Invariants of Knots and Links,” to appear inTransactions of the A.M.S.

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  3. C. Adams and W. Sherman. “Minimal Ideal Triangulations of Hyperbolic 3-Manifolds,”” preprint.

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© 1989 Springer-Verlag New York Inc.

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Hildebrand, M., Weeks, J. (1989). A Computer Generated Census of Cusped Hyperbolic 3-Manifolds. In: Kaltofen, E., Watt, S.M. (eds) Computers and Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9647-5_7

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  • DOI: https://doi.org/10.1007/978-1-4613-9647-5_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97019-6

  • Online ISBN: 978-1-4613-9647-5

  • eBook Packages: Springer Book Archive

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