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).References
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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