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Quilted Floer
trajectories with constant components: Corrigendum to the
article “Quilted Floer cohomology”
Katrin Wehrheim and Chris T Woodward |
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Geometry & Topology 16 (2012) 127–154
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 53D40
Secondary: 57R56
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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
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Authors |
| Katrin Wehrheim | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA 02139 USA |
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| http://www-math.mit.edu/~katrin | |
| Chris T Woodward | |
| Department of Mathematics Rutgers University Piscataway, NJ 08854 USA |
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| http://www.math.rutgers.edu/~ctw | |
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