Filtrations on the knot contact homology of transverse knots

DOI10.1007/s00208-012-0832-yzbMath1271.53077arXiv1010.0450OpenAlexW3100808488MaRDI QIDQ2377362

Tobias Ekholm, Michael G. Sullivan, Lenhard L. Ng, John B. Etnyre

Publication date: 28 June 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0450

zbMATH Keywords

transverse knotsknot contact homologybraid representative of transverse linkscombinatorial DGAinvariant of knots

Mathematics Subject Classification ID

Related Items (12)

Colored Kauffman homology and super-A-polynomials ⋮ On transverse invariants from Khovanov homology ⋮ Lectures on knot homology and quantum curves ⋮ Torus knots and the topological vertex ⋮ Homological invariants of codimension 2 contact submanifolds ⋮ A complete knot invariant from contact homology ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ Knot contact homology ⋮ Perverse sheaves and knot contact homology ⋮ Combinatorial knot contact homology and transverse knots ⋮ Knot contact homology, string topology, and the cord algebra ⋮ Non-simplicity of isocontact embeddings in all higher dimensions

Cites Work

• Combinatorial knot contact homology and transverse knots
• A duality exact sequence for Legendrian contact homology
• Heegard Floer invariants of Legendrian knots in contact three-manifolds
• Holomorphic curves in symplectic geometry
• Knot contact homology
• Knot and braid invariants from contact homology. I
• Legendrian knots, transverse knots and combinatorial Floer homology
• Morse flow trees and Legendrian contact homology in 1-jet spaces
• Framed knot contact homology
• The contact homology of Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• Legendrian contact homology in 𝑃×ℝ
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