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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Isotopic closed nonconjugate braids
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by K. Murasugi and R. S. D. Thomas PDF
Proc. Amer. Math. Soc. 33 (1972), 137-139 Request permission

Abstract:

J. S. Birman has conjectured that, when a knot is represented by a closed braid on a minimal number n of strands, the conjugacy class of the braid exhausts the set of braids in ${B_n}$ closing to define the knot. Counterexamples are given to disprove the conjecture, even when it is weakened to refer only to oriented knots.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 137-139
  • MSC: Primary 55A25
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292061-0
  • MathSciNet review: 0292061