Duality for Legendrian contact homology

DOI10.2140/gt.2006.10.2351zbMath1128.57026arXivmath/0508187OpenAlexW2131967891MaRDI QIDQ860183

Joshua M. Sabloff

Publication date: 23 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508187

zbMATH Keywords

Poincaré dualitycohomology operations

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (11)

The nonuniqueness of Chekanov polynomials of Legendrian knots ⋮ Legendrian knots and exact Lagrangian cobordisms ⋮ Obstructions to Lagrangian cobordisms between Legendrians via generating families ⋮ Computing homology invariants of Legendrian knots ⋮ A Legendrian Turaev torsion via generating families ⋮ Augmentations are sheaves ⋮ Lagrangian fillings of Legendrian 4-plat knots ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ Product structures for Legendrian contact homology ⋮ A duality exact sequence for Legendrian contact homology

Cites Work

• Morse homology
• Contact homology and one parameter families of Legendrian knots
• Invariants in contact topology
• Zero-loop open strings in the cotangent bundle and Morse homotopy
• Chekanov--Eliashberg invariant of Legendrian knots: Existence of augmentations
• Differential algebra of Legendrian links
• Computable Legendrian invariants
• Knots and contact geometry. I: Torus knots and the figure eight knot.
• Invariants of Legendrian knots and coherent orientations
• The \(N\)-copy of a topologically trivial Legendrian knot
• The nonuniqueness of Chekanov polynomials of Legendrian knots
• ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS
• Invariants of Legendrian Knots in Circle Bundles
• LEGENDRIAN KNOTS AND LINKS CLASSIFIED BY CLASSICAL INVARIANTS
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