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Quilted Floer trajectories with constant components: corrigendum to the article ``Quilted Floer cohomology'' - MaRDI portal

Quilted Floer trajectories with constant components: corrigendum to the article ``Quilted Floer cohomology'' (Q422817)

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scientific article; zbMATH DE number 6035980
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English
Quilted Floer trajectories with constant components: corrigendum to the article ``Quilted Floer cohomology''
scientific article; zbMATH DE number 6035980

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    Quilted Floer trajectories with constant components: corrigendum to the article ``Quilted Floer cohomology'' (English)
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    18 May 2012
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    A gap in the proof of the authors' transversality result for quilted Floer trajectories [Geom. Topol. 14, No. 2, 833--902 (2010; Zbl 1205.53091)] is filled. Namely, it is proved that for generic sets of split Hamiltonian perturbations and split almost complex structures, the moduli spaces of parametrized quilted Floer trajectories of a given index are smooth of expected dimension. Also, the generic split Hamiltonian perturbations perturb the given cyclic Lagrangian correspondence such that any geometric composition of its factors is transverse.
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    Floer theory
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    Lagrangian correspondence
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    transversality
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