Infinitely many monotone Lagrangian tori in del Pezzo surfaces

DOI10.1007/s00029-017-0312-zzbMath1377.53101arXiv1602.03356OpenAlexW2269544036WikidataQ59614143 ScholiaQ59614143MaRDI QIDQ2362841

Renato Vianna

Publication date: 14 July 2017

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03356

zbMATH Keywords

del Pezzo surfacealmost toric base diagramalmost toric fibrationmonotone Lagrangian torus

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Lagrangian submanifolds; Maslov index (53D12)

Related Items (18)

Full ellipsoid embeddings and toric mutations ⋮ Faithful semitoric systems ⋮ Hamiltonian unknottedness of certain monotone Lagrangian tori in \(S^2\times S^2\) ⋮ Examples of Weinstein domains in the complement of smoothed total toric divisors ⋮ An-type surface singularity and nondisplaceable Lagrangian tori ⋮ Chekanov torus and Gelfand-Zeitlin torus in \(S^2 \times S^2\) ⋮ Unknottedness of real Lagrangian tori in \(S^2 \times S^2\) ⋮ Homological mirror symmetry for log Calabi-Yau surfaces ⋮ Tropical Lagrangians in toric del-Pezzo surfaces ⋮ Markov numbers and Lagrangian cell complexes in the complex projective plane ⋮ Lagrangian isotopy of tori in \({S^2\times S^2}\) and \({{\mathbb{C}}P^2}\) ⋮ The wall-crossing formula and Lagrangian mutations ⋮ Families of monotone Lagrangians in Brieskorn-Pham hypersurfaces ⋮ Algebraic and symplectic viewpoint on compactifications of two-dimensional cluster varieties of finite type ⋮ From symplectic cohomology to Lagrangian enumerative geometry ⋮ Infinitely many Lagrangian fillings ⋮ Refined disk potentials for immersed Lagrangian surfaces ⋮ Singular symplectic spaces and holomorphic membranes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of symplectic structures
• On exotic Lagrangian tori in \(\mathbb{CP}^{2}\)
• The classification of ruled symplectic 4-manifolds
• Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
• Lagrangian isotopy of tori in \({S^2\times S^2}\) and \({{\mathbb{C}}P^2}\)
• Lagrangian tori in four-dimensional Milnor fibres
• Almost toric symplectic four-manifolds
• Pseudo holomorphic curves in symplectic manifolds
• Compactness results in symplectic field theory
• Continuum families of non-displaceable Lagrangian tori in \((\mathbb{C}P^1)^{2m}\)
• Homological mirror symmetry for hypersurface cusp singularities
• Orbifold adjunction formula and symplectic cobordisms between lens spaces
• The Seiberg-Witten and Gromov invariants
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• Holomorphic orbi-discs and Lagrangian Floer cohomology of symplectic toric orbifolds
• NOTES ON SYMPLECTIC 4-MANIFOLDS WITH $b_2^+ =1$, II
• Infinitely many exotic monotone Lagrangian tori in ℂℙ²
• Toric Degeneration and Nondisplaceable Lagrangian Tori in S2×S2
• On an exotic Lagrangian torus in
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Smoothable del Pezzo surfaces with quotient singularities
• Special Lagrangian fibrations, wall-crossing, and mirror symmetry
• Three-block exceptional collections over Del Pezzo surfaces
• From symplectic deformation to isotopy
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
• Mirror symmetry and T-duality in the complement of an anticanonical divisor

This page was built for publication: Infinitely many monotone Lagrangian tori in del Pezzo surfaces