Lagrangian cobordisms via generating families: construction and geography
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Publication:498744
DOI10.2140/agt.2015.15.2439zbMath1330.57037arXiv1409.3152OpenAlexW3102240735MaRDI QIDQ498744
Frédéric Bourgeois, Joshua M. Sabloff, Lisa Traynor
Publication date: 29 September 2015
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.3152
Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic field theory; contact homology (53D42)
Related Items (24)
Constructions of Lagrangian Cobordisms ⋮ Legendrian satellites and decomposable cobordisms ⋮ On the Lagrangian fillability of almost positive links ⋮ The augmentation category map induced by exact Lagrangian cobordisms ⋮ Obstructions to Lagrangian cobordisms between Legendrians via generating families ⋮ Lagrangian fillings in \(A\)-type and their Kálmán loop orbits ⋮ Augmentations and immersed Lagrangian fillings ⋮ Non-Orientable Lagrangian Fillings of Legendrian Knots ⋮ On Legendrian cobordisms and generating functions ⋮ On torsion in linearized Legendrian contact homology ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ Sectorial descent for wrapped Fukaya categories ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ Lagrangian fillings of Legendrian 4-plat knots ⋮ Legendrian fronts for affine varieties ⋮ Families of Legendrian submanifolds via generating families ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ Cellular Legendrian contact homology for surfaces. I ⋮ Positive knots and Lagrangian fillability ⋮ Lagrangian cobordism and tropical curves ⋮ Cross-sections of unknotted ribbon disks and algebraic curves ⋮ Non-simplicity of isocontact embeddings in all higher dimensions ⋮ Infinitely many Lagrangian fillings ⋮ Lagrangian cobordisms and Legendrian invariants in knot Floer homology
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