An-type surface singularity and nondisplaceable Lagrangian tori

DOI10.1142/S0129167X20500202zbMath1440.53088arXiv1710.11221MaRDI QIDQ5112228

Yuhan Sun

Publication date: 28 May 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11221

zbMATH Keywords

symplectic topologyLagrangian Floer theorytoric degenerationopen Gromov-Witten invariants

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (1)

A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain Lagrangian submanifolds of \(S^2\times S^2\) and \(\mathbb{C}\operatorname{P}^n\)
• Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
• The symplectic topology of some rational homology balls
• Deformations of symplectic cohomology and exact Lagrangians in ALE spaces
• Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
• Gauged Floer theory of toric moment fibers
• Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds
• Lagrangian fibers of Gelfand-Cetlin systems
• Symplectic forms and surfaces of negative square
• Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
• The construction of ALE spaces as hyper-Kähler quotients
• A Torelli-type theorem for gravitational instantons
• Low-area Floer theory and non-displaceability
• The Seiberg-Witten and Gromov invariants
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• The wall-crossing formula and Lagrangian mutations
• Infinitely many monotone Lagrangian tori in del Pezzo surfaces
• On the structure of certain natural cones over moduli spaces of genus-one holomorphic maps
• Floer trajectories and stabilizing divisors
• Displacing Lagrangian toric fibers by extended probes
• Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds
• Holomorphic orbi-discs and Lagrangian Floer cohomology of symplectic toric orbifolds
• Lagrangian Floer theory on compact toric manifolds. I.
• NOTES ON SYMPLECTIC 4-MANIFOLDS WITH $b_2^+ =1$, II
• Lagrangian Floer theory and mirror symmetry on compact toric manifolds
• Infinitely many exotic monotone Lagrangian tori in ℂℙ²
• Mirror maps equal SYZ maps for toric Calabi-Yau surfaces
• Toric Degeneration and Nondisplaceable Lagrangian Tori in S2×S2
• Open Gromov-Witten invariants and SYZ under local conifold transitions
• Open Gromov–Witten Invariants and Superpotentials for Semi-Fano Toric Surfaces
• On an exotic Lagrangian torus in
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• From symplectic deformation to isotopy
• Quasimap Floer Cohomology for Varying Symplectic Quotients
• Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory
• Quasi-States, Quasi-Morphisms, and the Moment Map
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves

This page was built for publication: An-type surface singularity and nondisplaceable Lagrangian tori