Quilted Floer trajectories with constant components: Corrigendum to the article “Quilted Floer cohomology”

Wehrheim, Katrin¹ ; Woodward, Chris T²

¹ Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
² Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA

Geometry & topology, Tome 16 (2012) no. 1, pp. 127-154.

Résumé

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.

Détail

DOI : 10.2140/gt.2012.16.127

Keywords: Floer theory, Lagrangian correspondence, transversality

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