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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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Topological insights from the Chinese Rings
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by Józef H. Przytycki and Adam S. Sikora PDF
Proc. Amer. Math. Soc. 130 (2002), 893-902 Request permission

Abstract:

L. Kauffman conjectured that a particular solution of the Chinese Rings puzzle is the simplest possible. We prove his conjecture by using low-dimensional topology and group theory. We notice also a surprising connection between the Chinese Rings and Habiro moves (related to Vassiliev invariants).
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Additional Information
  • Józef H. Przytycki
  • Affiliation: Department of Mathematics, The George Washington University, Washington, DC 20052
  • Address at time of publication: Department of Mathematics, University of Maryland, College Park, Maryland 20742
  • MR Author ID: 142495
  • Email: przytyck@gwu.edu
  • Adam S. Sikora
  • Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
  • MR Author ID: 364939
  • Email: asikora@math.umd.edu
  • Received by editor(s): September 10, 1999
  • Received by editor(s) in revised form: August 11, 2000
  • Published electronically: September 6, 2001
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 893-902
  • MSC (1991): Primary 57M25; Secondary 05C10
  • DOI: https://doi.org/10.1090/S0002-9939-01-06093-2
  • MathSciNet review: 1866046