Obstructions to Lagrangian cobordisms between Legendrians via generating families
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Publication:357702
DOI10.2140/agt.2013.13.2733zbMath1270.53096arXiv1109.5660OpenAlexW3102696888MaRDI QIDQ357702
Joshua M. Sabloff, Lisa Traynor
Publication date: 13 August 2013
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.5660
Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Cobordism and concordance in PL-topology (57Q60)
Related Items (15)
Constructions of Lagrangian Cobordisms ⋮ Legendrian satellites and decomposable cobordisms ⋮ The augmentation category map induced by exact Lagrangian cobordisms ⋮ Homological invariants of codimension 2 contact submanifolds ⋮ On Legendrian cobordisms and generating functions ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ On Newton polytopes of Lagrangian augmentations ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ Families of Legendrian submanifolds via generating families ⋮ Generating families and augmentations for Legendrian surfaces ⋮ A note on the front spinning construction ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ A note on exact Lagrangian cobordisms with disconnected Legendrian ends ⋮ Lagrangian cobordisms and Legendrian invariants in knot Floer homology ⋮ Lifting pseudo-holomorphic polygons to the symplectisation of \(P \times \mathbb{R}\) and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Lifting pseudo-holomorphic polygons to the symplectisation of \(P \times \mathbb{R}\) and applications
- Legendrian knots and exact Lagrangian cobordisms
- Monopole Floer homology and Legendrian knots
- Lagrangian cobordisms via generating families: construction and geography
- Connections between Floer-type invariants and Morse-type invariants of Legendrian knots
- Critical points of quasi-functions and generating families of Legendrian manifolds
- Symplectic topology as the geometry of generating functions
- An open string analogue of Viterbo functoriality
- Duality for Legendrian contact homology
- Generating family invariants for Legendrian links of unknots
- Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms
- Knot concordance and heegaard floer homology invariants in branched covers
- A partial ordering on slices of planar Lagrangians
- An exact sequence for contact- and symplectic homology
- A duality exact sequence for Legendrian contact homology
- Lagrangian concordance of Legendrian knots
- Morse theory for Lagrangian intersections
- A complete proof of Viterbo's uniqueness theorem on generating functions
- The Maslov index for paths
- Chekanov--Eliashberg invariant of Legendrian knots: Existence of augmentations
- Generating function polynomials for Legendrian links
- An obstruction to sliceness via contact geometry and ``classical gauge theory
- The genus of embedded surfaces in the projective plane
- Legendrian and transverse twist knots
- A note on Lagrangian cobordisms between Legendrian submanifolds of \(\mathbb R^{2n+1}\)
- A Lagrangian camel
- The nonuniqueness of Chekanov polynomials of Legendrian knots
- Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
- A proof of the Morse-Bott lemma.
- Rational SFT, Linearized Legendrian Contact Homology, and Lagrangian Floer Cohomology
- ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS
- Product structures for Legendrian contact homology
- On the Floer homology of cotangent bundles
- OBSTRUCTIONS TO THE EXISTENCE AND SQUEEZING OF LAGRANGIAN COBORDISMS
- The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint
- A COMBINATORIAL DGA FOR LEGENDRIAN KNOTS FROM GENERATING FAMILIES
- An Atlas of Legendrian Knots
- A bordered Chekanov-Eliashberg algebra
- Generating families and Legendrian contact homology in the standard contact space
- Combinatorics of fronts of Legendrian links and the Arnol'd 4-conjectures
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