BRAID ORDERING AND KNOT GENUS

DOI10.1142/S0218216511009169zbMath1235.57006arXiv0805.2042MaRDI QIDQ3094852

Tetsuya Ito

Publication date: 27 October 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2042

zbMATH Keywords

braid groupsknot genusDehornoy orderingDehornoy floor

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (12)

Braids, Fibered Knots, and Concordance Questions ⋮ Braid monodromy, orderings and transverse invariants ⋮ Ordering braids: In memory of Patrick Dehornoy ⋮ A quantitative Birman–Menasco finiteness theorem and its application to crossing number ⋮ Braid ordering and the geometry of closed braid ⋮ Invariant ordering of groups and topology ⋮ Essential open book foliations and fractional Dehn twist coefficient ⋮ Quasimorphisms, random walks, and transient subsets in countable groups ⋮ Laver's results and low-dimensional topology ⋮ Taut foliations in branched cyclic covers and left-orderable groups ⋮ A kernel of a braid group representation yields a knot with trivial knot polynomials ⋮ On a structure of random open books and closed braids

Cites Work

• Studying links via closed braids. VI: A non-finiteness theorem
• A new algorithm for recognizing the unknot
• Braid ordering and the geometry of closed braid
• Twist number of (closed) braids
• STUDYING SURFACES VIA CLOSED BRAIDS
• Dehornoy’s ordering on the braid group and braid moves

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