Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots

DOI10.1007/s10711-020-00575-xzbMath1473.57069arXiv1903.04731OpenAlexW3095266906MaRDI QIDQ2039261

Motoo Tange, Youlin Li

Publication date: 2 July 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04731

zbMATH Keywords

isotopyLegendrian knotsLagrangian disks

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) General topology of 4-manifolds (57K40) Contact structures in 3 dimensions (57K33)

Cites Work

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• Lifting pseudo-holomorphic polygons to the symplectisation of \(P \times \mathbb{R}\) and applications
• Obstructions to Lagrangian concordance
• Legendrian knots and exact Lagrangian cobordisms
• Topologically distinct Lagrangian and symplectic fillings
• A solution to a conjecture of Zeeman
• Lagrangian concordance is not a symmetric relation
• Lagrangian concordance of Legendrian knots
• Handlebody construction of Stein surfaces
• Tight contact structures and Seiberg-Witten invariants
• Cluster varieties from Legendrian knots
• Factorizations in \(\mathrm{SL}(2, \mathbb{Z})\) and simple examples of inequivalent Stein fillings
• Non-loose Legendrian spheres with trivial contact homology DGA
• Rational SFT, Linearized Legendrian Contact Homology, and Lagrangian Floer Cohomology
• Some non-collarable slices of Lagrangian surfaces
• A congruence between link polynomials
• Some two-generator one-relator non-Hopfian groups
• Non-loose Legendrian spheres with trivial Contact Homology DGA
• A Legendrian surgery presentation of contact 3-manifolds
• Positive knots and Lagrangian fillability
• Knot concordances in $S^1\times S^2$ and exotic smooth $4$-manifolds

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