Knot and braid invariants from contact homology. I

DOI10.2140/gt.2005.9.247zbMath1111.57011arXivmath/0302099OpenAlexW2952476029MaRDI QIDQ2388858

Lenhard L. Ng

Publication date: 20 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0302099

zbMATH Keywords

automorphism groupbraid representationhomology groupdifferential graded algebraknot invariantknot determinantcontact homologyReeb chordsfree tensor algebra

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Braid groups; Artin groups (20F36) Global theory of symplectic and contact manifolds (53D35)

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Uses Software

• NCAlgebra

Cites Work

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• Knot and braid invariants from contact homology. II
• The contact homology of Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• An endomorphism of the Khovanov invariant
• Invariants of Legendrian Knots in Circle Bundles
• The braid group \(B_4\) is linear
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