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arxiv: math/9803083 · v2 · pith:NQCN3W4Onew · submitted 1998-03-19 · 🧮 math.DG

Lagrangian two-spheres can be symplectically knotted

classification 🧮 math.DG
keywords lagrangianclasssubmanifoldssymplectictwo-spheresaddedautomorphismsconstructed
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This paper shows that there are symplectic four-manifolds M with the following property: a single isotopy class of smooth embedded two-spheres in M contains infinitely many Lagrangian submanifolds, no two of which are isotopic as Lagrangian submanifolds. The examples are constructed using a special class of symplectic automorphisms ("generalized Dehn twists"). The proof uses Floer homology. Revised version: one footnote removed, one reference added

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