Journal title
Geometric and Functional Analysis
DOI
10.1007/s00039-010-0074-7
Issue
3
Volume
20
Last updated
2024-02-17T10:24:46.687+00:00
Page
779-816
Abstract
We prove that the only exact Lagrangian submanifolds in an ALE space are spheres. ALE spaces are the simply connected hyperkahler manifolds which at infinity look like C^2/G for any finite subgroup G of SL(2,C). They can be realized as the plumbing of copies of the cotangent bundle of a 2-sphere according to ADE Dynkin diagrams. The proof relies on symplectic cohomology.
Symplectic ID
369647
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Publication type
Journal Article
Publication date
01 Sep 2010