Topological insights from the Chinese Rings

Józef H. Przytycki; Adam S. Sikora

doi:10.1090/S0002-9939-01-06093-2

Topological insights from the Chinese Rings

Józef H. Przytycki
, Adam S. Sikora

Mathematics

University of Maryland, College Park

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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).

Original language	English
Pages (from-to)	893-902
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-01-06093-2
State	Published - 2002

Keywords

Chinese Rings
Habiro move
Puzzle

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10.1090/S0002-9939-01-06093-2

Cite this

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title = "Topological insights from the Chinese Rings",

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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AB - 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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KW - Habiro move

KW - Puzzle

UR - https://www.scopus.com/pages/publications/0035994195

U2 - 10.1090/S0002-9939-01-06093-2

DO - 10.1090/S0002-9939-01-06093-2

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JF - Proceedings of the American Mathematical Society

IS - 3

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Topological insights from the Chinese Rings

Abstract

Keywords

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