Nearby Lagrangian fibers and Whitney sphere links

DOI10.1112/S0010437X17007692zbMath1387.53111arXiv1609.07591MaRDI QIDQ4636424

Ivan Smith, Tobias Ekholm

Publication date: 19 April 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07591

zbMATH Keywords

Whitney spherestable homotopy groups of spheresPontrjagin-Thom constructionsymplectic field theoryFloer equationLagrangian linkmoduli space of holomorphic disks

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Symplectic field theory; contact homology (53D42)

Related Items (1)

Symplectic rigidity of fibers in cotangent bundles of open Riemann surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Obstructions to Lagrangian concordance
• Lagrangian caps
• Effect of Legendrian surgery
• Exact Lagrangians in plumbings
• Compactness for holomorphic curves with switching Lagrangian boundary conditions
• Plongements différentiables de variétés dans variétés
• A new obstruction to embedding Lagrangian tori
• An open string analogue of Viterbo functoriality
• Holomorphic curves in symplectic geometry
• Compactness results in symplectic field theory
• Handle attaching in symplectic homology and the chord conjecture
• A complete knot invariant from contact homology
• Nearby Lagrangians with vanishing Maslov class are homotopy equivalent
• Parametrized ring-spectra and the nearby Lagrangian conjecture
• Exact Lagrangian immersions with one double point revisited
• Unlinking and unknottedness of monotone Lagrangian submanifolds
• Effective classes and Lagrangian tori in symplectic four-manifolds
• Exact Lagrangian submanifolds in simply-connected cotangent bundles
• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• Constructing exact Lagrangian immersions with few double points
• On the immersion classes of nearby Lagrangians: Table 1.
• Non-loose Legendrian spheres with trivial contact homology DGA
• Exact Lagrangian immersions with a single double point
• Link Homotopy With One Codimension Two Component
• Spheres May Link Homotopically in 4-Space
• Partial Differential Relations
• Immersions in the metastable range and spin structures on surfaces
• Lagrangian exotic spheres

This page was built for publication: Nearby Lagrangian fibers and Whitney sphere links