Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra

DOI10.2140/agt.2013.13.3047zbMath1280.57019arXiv1206.2259OpenAlexW3104359926MaRDI QIDQ357728

Daniel Rutherford, Lenhard L. Ng

Publication date: 13 August 2013

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

Full work available at URL: https://arxiv.org/abs/1206.2259

zbMATH Keywords

satelliteLegendrian knotLegendrian contact homologynormal ruling

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Symplectic field theory; contact homology (53D42)

Related Items (16)

Constructions of Lagrangian Cobordisms ⋮ Augmentations and rulings of Legendrian links in \(\#^k(S^1\times S^2)\) ⋮ The augmentation category map induced by exact Lagrangian cobordisms ⋮ Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial ⋮ Braid loops with infinite monodromy on the Legendrian contact DGA ⋮ Estimating the number of Reeb chords using a linear representation of the characteristic algebra ⋮ Weave-realizability for \(D\)-type ⋮ Augmented Legendrian cobordism in \(J^1S^1\) ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ Augmentations are sheaves ⋮ Legendrian skein algebras and Hall algebras ⋮ Legendrian knots and constructible sheaves ⋮ Flags and tangles ⋮ Ruling polynomials and augmentations over finite fields ⋮ Legendrian DGA representations and the colored Kauffman polynomial ⋮ Representations, sheaves and Legendrian (2,m) torus links

Cites Work

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• The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond
• Braid-positive Legendrian links
• Combinatorics of fronts of Legendrian links and the Arnol'd 4-conjectures

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