Exact Lagrangians in $A_n$-surface singularities
Weiwei Wu
TL;DR
This paper classifies Lagrangian spheres in $A_n$-surface singularities up to Hamiltonian isotopy, providing a comprehensive understanding of exact Lagrangians in these singularities by combining with existing results.
Contribution
It offers a complete classification of exact Lagrangians in $A_n$-surface singularities, extending previous partial results.
Findings
Lagrangian spheres are classified up to Hamiltonian isotopy.
Complete classification of exact Lagrangians in $A_n$-surface singularities.
Integration with A. Ritter's results yields a full understanding.
Abstract
In this paper we classify Lagrangian spheres in -surface singularities up to Hamiltonian isotopy. Combining with a result of A. Ritter, this yields a complete classification of exact Lagrangians in -surface singularities.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds