Quilted Floer cohomology
Name
Wehrheim_Quilted floer.pdf
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554.3 KB
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Author(s)
Wehrheim, Katrin
Woodward, Chris T.
Date Issued
March 2010
Journal
Geometry & Topology
Publisher
International Press
Citation
Wehrheim, Katrin, and Chris T. Woodward. “Quilted Floer Cohomology.” Geometry & Topology 14.2 (2010): 833–902.
Version
Author's final manuscript
Abstract
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
2–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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.2140/gt.2010.14.833
