Quilted Floer trajectories with constant components: Corrigendum to the article "quilted Floer cohomology"

Katrin Wehrheim, Chris T. Woodward

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We fill a gap in the proof of the transversality result for quilted Floer trajectories in [10] 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.

Original languageEnglish (US)
Pages (from-to)127-154
Number of pages28
JournalGeometry and Topology
Volume16
Issue number1
DOIs
StatePublished - Jan 5 2012

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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