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Strict Minimality of Alternating Knots in S × I

T. Fleming

Department of Mathematics, University of California San Diego, 9500 Gilman Dr., La Jolla, CA 92093-0112, USA

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https://doi.org/10.1142/S0218216503002573Cited by:2 (Source: Crossref)

Abstract

For prime knots that lie in the plane, it is known that a reduced alternating projection of a knot has fewer crossings than any non-alternating projection of that knot. We show a similar result for knots that lie in S × I, where S is a surface. A combination of polynomial, geometric and topological techniques are used.

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References

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Journal cover image

Vol. 12, No. 04

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Downloaded 42 times

History

Received 4 March 2002

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