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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Quilted Floer trajectories with constant components: Corrigendum to the article “Quilted Floer cohomology”

Katrin Wehrheim and Chris T Woodward

Geometry & Topology 16 (2012) 127–154
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.

Keywords
Floer theory, Lagrangian correspondence, transversality
Mathematical Subject Classification 2000
Primary: 53D40
Secondary: 57R56
References
Publication
Received: 2 February 2011
Revised: 11 October 2011
Accepted: 8 November 2011
Published: 2 January 2012
Proposed: Leonid Polterovich
Seconded: Danny Calegari, Peter Teichner
Authors
Katrin Wehrheim
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA 02139
USA
http://www-math.mit.edu/~katrin
Chris T Woodward
Department of Mathematics
Rutgers University
Piscataway, NJ 08854
USA
http://www.math.rutgers.edu/~ctw