On Legendrian products and twist spuns

DOI10.2140/agt.2021.21.665zbMath1486.53095arXiv1905.01484OpenAlexW3159058993MaRDI QIDQ2035041

Roman Golovko, Georgios Dimitroglou Rizell

Publication date: 23 June 2021

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

Full work available at URL: https://arxiv.org/abs/1905.01484

zbMATH Keywords

Legendrian knotLegendrian contact homologyLegendrian producttwist spun

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Symplectic field theory; contact homology (53D42) Knot theory (57K10)

Related Items (2)

A note on the infinite number of exact Lagrangian fillings for spherical spuns ⋮ On non-geometric augmentations in high dimensions

Cites Work

• Legendrian knots and exact Lagrangian cobordisms
• Legendrian ambient surgery and Legendrian contact homology
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• Families of Legendrian submanifolds via generating families
• Knotted Legendrian surfaces with few Reeb chords
• Estimating the number of Reeb chords using a linear representation of the characteristic algebra
• Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms
• Isotopies of Legendrian 1-knots and Legendrian 2-tori
• Minimal models in homotopy theory
• Differential algebra of Legendrian links
• On connected sums and Legendrian knots.
• Augmentations are sheaves
• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• Infinitely many exotic monotone Lagrangian tori in ℂℙ²
• Rational SFT, Linearized Legendrian Contact Homology, and Lagrangian Floer Cohomology
• Legendrian contact homology in 𝑃×ℝ
• An Introduction to Contact Topology
• A note on the front spinning construction
• Mirror symmetry and T-duality in the complement of an anticanonical divisor

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