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Quilted Floer
cohomology
Katrin Wehrheim and Chris T Woodward |
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Geometry & Topology 14 (2010) 833–902
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Correction: 10.2140/gt.2012.16.127
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Abstract |
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We generalize Lagrangian Floer cohomology to sequences of Lagrangian correspondences. For sequences related by the geometric composition of Lagrangian correspondences we establish an isomorphism of the Floer cohomologies. This provides the foundation for the construction of a symplectic –category as well as for the definition of topological invariants via decomposition and representation in the symplectic category. Here we give some first direct symplectic applications: Calculations of Floer cohomology, displaceability of Lagrangian correspondences and transfer of displaceability under geometric composition. |
Keywords
Floer theory, Lagrangian correspondence, Hamiltonian
nondisplaceability
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Mathematical Subject Classification 2000
Primary: 53D40
Secondary: 57R56
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References |
Publication
Received: 14 May 2009
Revised: 4 January 2009
Accepted: 25 November 2009
Published: 5 March 2010
Proposed: Leonid Polterovich
Seconded: Danny Calegari, Peter Teichner
Correction: 2 January 2012
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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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