Non-displaceable Lagrangian links in four-manifolds
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Peer-reviewed
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Authors
Mak, Cheuk Yu
Smith, Ivan
Abstract
Abstract: Let ω denote an area form on S2. Consider the closed symplectic 4-manifold M=(S2×S2, Aω⊕aω) with 0<a<A. We show that there are families of displaceable Lagrangian tori L0, x, L1, x⊂M, for x∈[0, 1], such that the two-component link L0, x∪L1, x is non-displaceable for each x.
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Article
Journal Title
Geometric and Functional Analysis
Conference Name
Journal ISSN
1016-443X
1420-8970
1420-8970
Volume Title
31
Publisher
Springer International Publishing
