Mak, Cheuk Yu and Smith, Ivan (2021) Non-displaceable Lagrangian links in four-manifolds. Geometric And Functional Analysis, 31, 438-481. (doi:10.1007/s00039-021-00562-8).
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Article
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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Accepted/In Press date: 22 February 2019
Published date: 8 April 2021
Keywords:
Nondisplaceable Lagrangian submanifolds, Bulk deformation, Lagrangian Floer cohomology, Disconnected Lagrangian submanifold, orbifold bulk deformed superpotential
Identifiers
Local EPrints ID: 477064
URI: http://eprints.soton.ac.uk/id/eprint/477064
PURE UUID: 7f29d733-1057-4fe0-8df0-999cceaa0a24
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Date deposited: 25 May 2023 16:37
Last modified: 17 Mar 2024 04:17
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Contributors
Author:
Cheuk Yu Mak
Author:
Ivan Smith
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