On the zeroes of the Alexander polynomial of a Lorenz knot

DOI10.5802/aif.2938zbMath1332.57006arXiv1110.4178OpenAlexW1701113344MaRDI QIDQ748387

Pierre Dehornoy

Publication date: 20 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4178

zbMATH Keywords

spectral radiusmonodromyAlexander polynomialYoung diagramSeifert surfaceDehn twistbraid indexLorenz knotMurasugi sumknot genusfibered knotHopf linkLorenz braid

Mathematics Subject Classification ID

Related Items (4)

Trefoil plumbing ⋮ Hyperbolicity of 3-trip Lorenz knots ⋮ n-Bridge braids and the braid index ⋮ Signature, positive Hopf plumbing and the Coxeter transformation (With appendix by Peter Feller and Livio Liechti)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Lorenz knots
• On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus
• Small dilatation mapping classes coming from the simplest hyperbolic braid
• Knots and links in three-dimensional flows
• On the genus of the alternating knot. II
• A family of pseudo-Anosov braids with small dilatation
• Detecting fibred links in \(S^ 3\)
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• Signature asymptotique d'un champ de vecteurs en dimension 3. (Asymptotic signature of a vector field in dimension 3)
• Thurston's Work on Surfaces (MN-48)
• POLYNOMIAL INVARIANTS OF PSEUDO-ANOSOV MAPS
• Bounds on Least Dilatations
• A new twist on Lorenz links
• Braids and the Jones Polynomial
• On the geometry and dynamics of diffeomorphisms of surfaces
• Deterministic Nonperiodic Flow
• Asymptotic Vassiliev Invariants for Vector Fields
• The Lorenz Attractor, a Paradigm for Chaos

This page was built for publication: On the zeroes of the Alexander polynomial of a Lorenz knot