Knot contact homology detects cabled, composite, and torus knots

DOI10.1090/proc/13643zbMath1381.57005arXiv1509.01642OpenAlexW2963208376WikidataQ47037040 ScholiaQ47037040MaRDI QIDQ4592763

Tye Lidman, Cameron McA. Gordon

Publication date: 8 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01642

zbMATH Keywords

torus knotscompositecableknot contact homology

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17)

Related Items (6)

2-knot homology and Roseman move ⋮ A complete knot invariant from contact homology ⋮ 2-Knot homology and Yoshikawa move ⋮ Cellular Legendrian contact homology for surfaces. I ⋮ Knot contact homology, string topology, and the cord algebra ⋮ THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT

Cites Work

• Roots and centralizers of peripheral elements in knot groups
• A complete knot invariant from contact homology
• KCH representations, augmentations, and \(A\)-polynomials
• Knot contact homology
• Knot contact homology, string topology, and the cord algebra
• Knot and braid invariants from contact homology. I
• Knot and braid invariants from contact homology. II
• Framed knot contact homology
• Eine Kennzeichnung der Torusknoten
• A Topological Introduction to Knot Contact Homology
• THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT
• Hilbert Space Extremal Problems with Constraints

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