Families of Legendrian submanifolds via generating families

DOI10.4171/QT/82zbMath1358.57029arXiv1311.0528OpenAlexW2963598498MaRDI QIDQ509948

Joshua M. Sabloff, Michael G. Sullivan

Publication date: 15 February 2017

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0528

zbMATH Keywords

Legendrian submanifoldgenerating family\(1\)-jet spacegenerating family homology

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17)

Related Items (7)

Fundamental groups of formal Legendrian and horizontal embedding spaces ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ A Legendrian Turaev torsion via generating families ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ On Legendrian products and twist spuns ⋮ Infinitely many Lagrangian fillings

Cites Work

• Obstructions to Lagrangian cobordisms between Legendrians via generating families
• A bordered Legendrian contact algebra
• Lagrangian cobordisms via generating families: construction and geography
• Generating family invariants for Legendrian links of unknots
• Isotopies of Legendrian 1-knots and Legendrian 2-tori
• A duality exact sequence for Legendrian contact homology
• Differential algebra of Legendrian links
• Classification of overtwisted contact structures on 3-manifolds
• Floer homology of families. I.
• Generating families and Legendrian contact homology in the standard contact space
• A note on the front spinning construction
• Higher Topos Theory (AM-170)

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