The existence of a universal transverse knot

DOI10.2140/agt.2022.22.2187OpenAlexW4307805219MaRDI QIDQ2092755

J. Rodríguez-Viorato

Publication date: 3 November 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03663

zbMATH Keywords

open book decompositionbranched coveringscontact 3-manifolds

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Low-dimensional topology of special (e.g., branched) coverings (57M12) Contact structures in 3 dimensions (57K33)

Cites Work

• The Whitehead link, the Borromean rings and the knot \(9_{46}\) are universal
• Brieskorn manifolds as contact branched covers of spheres
• On 2-universal knots
• Theory of braids
• Coverings of Open Books
• Branched Covers and Contact Structures
• Constructions of contact manifolds
• MARKOV THEOREM FOR TRANSVERSAL LINKS
• Breadth in Contemporary Topology
• Tutorial on the braid groups
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