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arXiv:math/0401051math.GT

Minimum Braids: A Complete Invariant of Knots and Links

Thomas A. Gittings

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Abstract

Minimum braids are a complete invariant of knots and links. This paper defines minimum braids, describes how they can be generated, presents tables for knots up to ten crossings and oriented links up to nine crossings, and uses minimum braids to study graph trees, amphicheirality, unknotting numbers, and periodic tables.

arXiv comments
40 pages
Journal reference
DOI
Subjects
math.GTGeometric Topology math.ATAlgebraic Topology

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