Infinitely many monotone Lagrangian tori in \(\mathbb R^6\)

DOI10.1007/s00222-014-0561-9zbMath1333.57037arXiv1407.3725OpenAlexW2066786712MaRDI QIDQ496209

Denis Auroux

Publication date: 21 September 2015

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3725

zbMATH Keywords

Lagrangian submanifoldsymplectomorphism

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12)

Related Items (10)

Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces ⋮ Lagrangian product tori in symplectic manifolds ⋮ Monotone Lagrangian submanifolds of \(\mathbb{C}^n\) and toric topology ⋮ Exotic Lagrangian tori in Grassmannians ⋮ Chekanov torus and Gelfand-Zeitlin torus in \(S^2 \times S^2\) ⋮ Lagrangian torus fibrations and homological mirror symmetry for the conifold ⋮ Unknottedness of real Lagrangian tori in \(S^2 \times S^2\) ⋮ SYZ mirror symmetry for hypertoric varieties ⋮ Infinitely many exotic monotone Lagrangian tori in ℂℙ² ⋮ Families of monotone Lagrangians in Brieskorn-Pham hypersurfaces

Cites Work

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• Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
• On exotic Lagrangian tori in \(\mathbb{CP}^{2}\)
• The symplectic topology of some rational homology balls
• Notes on monotone Lagrangian twist tori
• Pseudo holomorphic curves in symplectic manifolds
• Lagrangian tori in a symplectic vector space and global symplectomorphisms
• Constructing exact Lagrangian immersions with few double points
• Infinitely many exotic monotone Lagrangian tori in ℂℙ²
• Mirror symmetry and T-duality in the complement of an anticanonical divisor

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