Quilted floer cohomology

Katrin Wehrheim, Chris T. Woodward

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)833-902
Number of pages70
JournalGeometry and Topology
Volume14
Issue number2
DOIs
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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