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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Computing boundary slopes of 2-bridge links
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by Jim Hoste and Patrick D. Shanahan PDF
Math. Comp. 76 (2007), 1521-1545 Request permission

Abstract:

We describe an algorithm for computing boundary slopes of 2-bridge links. As an example, we work out the slopes of the links obtained by $1/k$ surgery on one component of the Borromean rings. A table of all boundary slopes of all 2-bridge links with 10 or less crossings is also included.
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Additional Information
  • Jim Hoste
  • Affiliation: Pitzer College, 1050 N. Mills Ave., Claremont, California 91711
  • MR Author ID: 88610
  • Email: jhoste@pitzer.edu
  • Patrick D. Shanahan
  • Affiliation: Loyola Marymount University, 1 LMU Dr., Los Angeles, California 90045-2659
  • MR Author ID: 537475
  • Email: pshanahan@lmu.edu
  • Received by editor(s): May 24, 2005
  • Received by editor(s) in revised form: March 31, 2006
  • Published electronically: March 12, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 76 (2007), 1521-1545
  • MSC (2000): Primary 57M25
  • DOI: https://doi.org/10.1090/S0025-5718-07-01936-9
  • MathSciNet review: 2299787