Special Lagrangian submanifolds of log Calabi-Yau manifolds
From MaRDI portal
Publication:2037858
DOI10.1215/00127094-2021-0012zbMath1479.14046arXiv1904.08363OpenAlexW3156374218MaRDI QIDQ2037858
Yu-Shen Lin, Adam Jacob, Tristan C. Collins
Publication date: 8 July 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.08363
mirror symmetrydel Pezzo surfaceLagrangian mean curvature flowspecial Lagrangianrational elliptic surface
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Flows related to mean curvature (53E10)
Related Items
The Torelli theorem for gravitational instantons, Period domains for gravitational instantons, Special Lagrangian cycles and Calabi-Yau transitions, A proof of N. Takahashi's conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence, SYZ mirror symmetry for del Pezzo surfaces and affine structures, Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces, The proper Landau-Ginzburg potential, intrinsic mirror symmetry and the relative mirror map, Algebraic and symplectic viewpoint on compactifications of two-dimensional cluster varieties of finite type, PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds
- Mean curvature flow in a Ricci flow background
- Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models
- Gromov-Hausdorff collapsing of Calabi-Yau manifolds
- Calabi-Yau manifolds with isolated conical singularities
- From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform.
- On the spectrum of Riemannian submersions with totally geodesic fibers
- Analytische Faserungen über holomorph-vollständigen Räumen
- Das Riemann-Hilbertsche Problem der Theorie der linearen Differentialgleichungen
- Limits of Calabi-Yau metrics when the Kähler class degenerates
- Stability of Kähler-Ricci flow
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
- Asymptotically cylindrical Calabi-Yau manifolds
- Mirror symmetry for log Calabi-Yau surfaces. I
- Adiabatic limits of Ricci-flat Kähler metrics
- Pseudo holomorphic curves in symplectic manifolds
- Real analyticity of solutions of Hamilton's equation
- Morse theory for Lagrangian intersections
- Deforming the metric on complete Riemannian manifolds
- The existence of minimal immersions of 2-spheres
- Laplacians and Riemannian submersions with totally geodesic fibres
- Enriques surfaces. I
- Complete Kähler manifolds with zero Ricci curvature. II
- Complex analytic geometry
- Ricci deformation of the metric on complete non-compact Riemannian manifolds
- Mirror symmetry on K3 surfaces as a hyper-Kähler rotation
- Deformations of calibrated submanifolds
- Holomorphic curves in symplectic geometry
- Algebraic surfaces and holomorphic vector bundles
- Regularity theory for mean curvature flow
- The moduli space of complex Lagrangian submanifolds
- Large complex structure limits of \(K3\) surfaces
- Landau-Ginzburg Hodge numbers for mirrors of del Pezzo surfaces
- Numerical characterization of the Kähler cone of a compact Kähler manifold
- Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces. III. Symplectic topological SYZ mirror construction for general quintics.
- Some examples of special Lagrangian tori
- Calibrated fibrations on noncompact manifolds via group actions
- Angle theorems for the Lagrangian mean curvature flow
- Mirror symmetry is \(T\)-duality
- Collapsing of abelian fibered Calabi-Yau manifolds
- Categorial mirror symmetry for K3 surfaces
- Torus fibrations of Calabi-Yau hypersurfaces in toric varieties
- Mirror symmetry for lattice polarized del Pezzo surfaces
- Twin Lagrangian fibrations in mirror symmetry
- Dynamics on blowups of the projective plane
- On compact analytic surfaces. III
- A generalization of the isoperimetric inequality
- Lectures on Moduli Spaces of Elliptic Curves
- Gravitational instantons from rational elliptic surfaces
- A Beginner’s Introduction to Fukaya Categories
- Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
- Collapsing hyperkähler manifolds
- Special Lagrangian fibrations, wall-crossing, and mirror symmetry
- Harmonic functions on complete riemannian manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- The isoperimetric inequality
- A mirror theorem for toric complete intersections
- Gromov's Compactness Theorem for Pseudo Holomorphic Curves
- Quantum Cohomology Rings of Toric Manifolds
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds
- Homological Algebra of Mirror Symmetry
- The Geometries of 3-Manifolds
- Locality in the Fukaya category of a hyperkähler manifold
- Equivariant Gromov - Witten Invariants
- Special Lagrangian fibrations, mirror symmetry and Calabi-Yau double covers
- Theta functions and mirror symmetry
- Complete Kahler Manifolds with Zero Ricci Curvature. I
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
