Quilted Floer trajectories with constant components: Corrigendum to the article “Quilted Floer cohomology”
Name
Wehrheim_Quilted floer corrigendum.pdf
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Author(s)
Wehrheim, Katrin
Woodward, Chris T.
Date Issued
January 2012
Journal
Geometry and Topology
Publisher
Mathematical Sciences Publishers
Citation
Wehrheim, Katrin, and Chris T Woodward. “Quilted Floer trajectories with constant components: Corrigendum to the article ‘Quilted Floer cohomology’.” Geometry & Topology 16.1 (2012): 127-154.
Version
Author's final manuscript
Abstract
We fill a gap in the proof of the transversality result for quilted Floer trajectories in
[Geom. Topol. 14 (2010) 833–902] by addressing trajectories for which some but not
all components are constant. Namely we show 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. An additional benefit of the generic split Hamiltonian
perturbations is that they perturb the given cyclic Lagrangian correspondence
such that any geometric composition of its factors is transverse and hence
immersed.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.2140/gt.2012.16.127
