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Construction of non-alternating knots

2006/02/06 by Sebastian Baader, Baader, Sebastian
Computer Science · Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #math.GT #msc:57M25 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0602092

5 pages, 3 figures, one remark added

openalex publication_date 2006/02/06 · arxiv created 2006/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the behaviour of Rasmussen's invariant s under the sharp operation on knots and obtain a lower bound for the sharp unknotting number. This bound leads us to an interesting move that transforms arbitrary knots into non-alternating knots.

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