On the rotation class of knotted Legendrian tori in \(\mathbb{R}^5\)

DOI10.1016/j.topol.2016.05.014zbMath1358.57030arXiv1405.2358OpenAlexW2403161629MaRDI QIDQ2630442

Ben McCarty, Scott Baldridge

Publication date: 27 July 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2358

zbMATH Keywords

knotscontact formLegendrian surfacesrotation classhypercube diagram

Mathematics Subject Classification ID

Embeddings in differential topology (57R40)

Related Items (1)

Lifting Lagrangian immersions in \(\mathbb{C}P^{n-1}\) to Lagrangian cones in \(\mathbb{C}^n\)

Cites Work

• An infinite family of Legendrian torus knots distinguished by cube number
• The Maslov index for paths
• New examples of minimal Lagrangian tori in the complex projective plane
• Computable Legendrian invariants
• Knots and contact geometry. I: Torus knots and the figure eight knot.
• Embedding knots and links in an open book. I: Basic properties
• Mirror symmetry is \(T\)-duality
• A combinatorial description of knot Floer homology
• Legendrian knots, transverse knots and combinatorial Floer homology
• On combinatorial link Floer homology
• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• CUBE NUMBER CAN DETECT CHIRALITY AND LEGENDRIAN TYPE OF KNOTS
• ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
• CUBE DIAGRAMS AND 3-DIMENSIONAL REIDEMEISTER-LIKE MOVES FOR KNOTS
• Small examples of cube diagrams of knots
• An invariant of a submanifold transversal to a distribution
• Special Lagrangian cones

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