Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem

DOI10.2140/gt.2006.10.1453zbMath1151.53047arXivmath/0609352OpenAlexW3103256751MaRDI QIDQ860163

Publication date: 23 January 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609352

zbMATH Keywords

Calabi-Yau manifolds conical singularities ACSL smoothing problem asymptotically conical special Lagrangian submanifolds calibrated submanifolds of $\mathbb C^n$Lagrangian h-principle prescribed boundary problem singular special Lagrangian submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)

Uses Software

ACSL

Cites Work

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The classification of immersions of spheres in Euclidean spaces
Determination of the cobordism ring
Quelques calculs en corbordisme lagrangien
Special Lagrangian cones with higher genus links
Calibrated geometries
Pseudo holomorphic curves in symplectic manifolds
Totally real parallel submanifolds in $P^ n($c)
The surgery of Lagrange submanifolds
On the classification of Lagrange immersions
Holomorphic curves in symplectic geometry
Holonomy and Skyrme's model
Regularizing a singular special Lagrangian variety
Special Lagrangian submanifolds with isolated conical singularities. IV: Desingularization, obstructions and families
Special Lagrangian submanifolds with isolated conical singularities. V: Survey and applications.
Special Lagrangian submanifolds with isolated conical singularities. I: Regularity
Special Lagrangian submanifolds with isolated conical singularities. II: Moduli spaces
Special Lagrangian submanifolds with isolated conical singularities. III: Desingularization, the unobstructed case
The geometric complexity of special Lagrangian $T^2$-cones
Connected sums of special Lagrangian submanifolds
On the boundaries of special Lagrangian submanifolds
Mirror symmetry is $T$-duality
Singularities of special Lagrangian fibrations and the SYZ conjecture
Embedded special Lagrangian submanifolds in Calabi-Yau manifolds
On $C^1$-complexes
Quelques propriétés globales des variétés différentiables
The self-intersections of a smooth $n$-manifold in $2n$-space
Special Lagrangian Fibrations I: Topology
Area minimizing hypersurfaces with isolated singularities.
Partial Differential Relations
Immersions of Manifolds
Characteristic Classes. (AM-76)
SPECIAL LAGRANGIAN CONES IN $\C^3$ AND PRIMITIVE HARMONIC MAPS
On a new construction of special Lagrangian immersions in complex Euclidean space
MINIMAL LAGRANGIAN 2-TORI IN $\mathbb{CP}^2$ COME IN REAL FAMILIES OF EVERY DIMENSION
Special Lagrangian cones

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