Knots with Braid Index Three Have Property-P
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Publication:4474498
DOI10.1142/S0218216503002457zbMath1051.57009arXivmath/0010154OpenAlexW2096955810MaRDI QIDQ4474498
Xingru Zhang, William W. Menasco
Publication date: 12 July 2004
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0010154
Related Items (7)
Property P for knots admitting certain Gabai disks ⋮ Application of Braiding Sequences. II. Polynomial Invariants of Positive Knots ⋮ The \(C\)-polynomial of a knot ⋮ APPLICATION OF BRAIDING SEQUENCES, I: ON THE CHARACTERIZATION OF VASSILIEV AND POLYNOMIAL LINK INVARIANTS ⋮ Application of braiding sequences. IV: Link polynomials and geometric invariants ⋮ A NOTE ON CLOSED 3-BRAIDS ⋮ Application of braiding sequences III: Concordance of positive knots
Cites Work
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- A projective plane in \({\mathbb{R}}^ 4\) with three critical points is standard. Strongly invertible knots have property P
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- Studying links via closed braids. III: Classifying links which are closed 3-braids
- Essential laminations in 3-manifolds
- Constructing taut foliations
- Dehn surgery on arborescent knots
- THE GENUS OF CLOSED 3-BRAIDS
- Foliations and the topology of 3-manifolds
- Dehn surgery on knots
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