Twist number of (closed) braids

DOI10.1090/S1061-0022-05-00879-4zbMath1088.57008OpenAlexW1596267634MaRDI QIDQ3376457

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Publication date: 23 March 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00879-4

zbMATH Keywords

Braid grouptranslation numberlink theoryBirman-Menasco movesMarkov destabilisation

Mathematics Subject Classification ID

Related Items (10)

Coloring link diagrams and Conway-type polynomial of braids ⋮ Floer homology and fractional Dehn twists ⋮ 𝐴𝑢𝑡-invariant quasimorphisms on groups ⋮ Median quasimorphisms on CAT(0) cube complexes and their cup products ⋮ Braid ordering and the geometry of closed braid ⋮ The rotation number integer quantization effect in braid groups ⋮ Laver's results and low-dimensional topology ⋮ Stability and triviality of the transverse invariant from Khovanov homology ⋮ BRAID ORDERING AND KNOT GENUS ⋮ Taut foliations in branched cyclic covers and left-orderable groups

Cites Work

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• Orderings of mapping class groups after Thurston
• Orderings on braid groups, operations on closed braids, and confirmation of Menasco's conjectures
• Groups acting on the circle.
• Fast algorithms for identification and comparison of braids.
• The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
• On the geometry and dynamics of diffeomorphisms of surfaces

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