Lagrangian concordance of Legendrian knots

DOI10.2140/agt.2010.10.63zbMath1203.57010arXivmath/0611848OpenAlexW3100268016MaRDI QIDQ1048476

Baptiste Chantraine

Publication date: 12 January 2010

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

Full work available at URL: https://arxiv.org/abs/math/0611848

zbMATH Keywords

cobordismLegendrianlocal Thom conjecturesymplectisation

Mathematics Subject Classification ID

Related Items (45)

Reeb chords of Lagrangian slices ⋮ Lagrangian skeleta and plane curve singularities ⋮ Constructions of Lagrangian Cobordisms ⋮ Families of legendrians and Lagrangians with unbounded spectral norm ⋮ Rationally convex domains and singular Lagrangian surfaces in \(\mathbb {C}^2\) ⋮ Legendrian knots and exact Lagrangian 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 ⋮ On homological rigidity and flexibility of exact Lagrangian endocobordisms ⋮ Lagrangian concordance is not a symmetric relation ⋮ Lagrangian fillings in \(A\)-type and their Kálmán loop orbits ⋮ Lagrangian cobordism functor in microlocal sheaf theory I ⋮ Braid loops with infinite monodromy on the Legendrian contact DGA ⋮ Symplectic hats ⋮ On non-geometric augmentations in high dimensions ⋮ Augmentations and immersed Lagrangian fillings ⋮ Homological invariants of codimension 2 contact submanifolds ⋮ Non-Orientable Lagrangian Fillings of Legendrian Knots ⋮ Weave-realizability for \(D\)-type ⋮ On Legendrian cobordisms and generating functions ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ Monopole Floer homology and Legendrian knots ⋮ On Newton polytopes of Lagrangian augmentations ⋮ Exact Lagrangians in four‐dimensional symplectisations ⋮ An Energy–Capacity inequality for Legendrian submanifolds ⋮ Tropically constructed Lagrangians in mirror quintic threefolds ⋮ Lagrangian fillings of Legendrian 4-plat knots ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ Nonfillable Legendrian knots in the 3-sphere ⋮ A note on the front spinning construction ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ OBSTRUCTIONS TO THE EXISTENCE AND SQUEEZING OF LAGRANGIAN COBORDISMS ⋮ Positive knots and Lagrangian fillability ⋮ Contact structures and reducible surgeries ⋮ Lagrangian cobordism and tropical curves ⋮ Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots ⋮ Cross-sections of unknotted ribbon disks and algebraic curves ⋮ On the equivalence of contact invariants in sutured Floer homology theories ⋮ A note on exact Lagrangian cobordisms with disconnected Legendrian ends ⋮ Positive Legendrian isotopies and Floer theory ⋮ Dynamically exotic contact spheres in dimensions \(\geq 7\) ⋮ A note on generalized Thurston–Bennequin inequalities ⋮ Lagrangian cobordisms and Legendrian invariants in knot Floer homology ⋮ On topologically distinct infinite families of exact Lagrangian fillings

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