Functoriality for Lagrangian correspondences in Floer theory

  title={Functoriality for Lagrangian correspondences in Floer theory},
  author={Chris T. Woodward},
We generalize Lagrangian Floer theory to sequences of Lagrangian correspondences and establish an isomorphism between the Floer homology groups of sequences that are related by the geometric composition of Lagrangian correspondences. On these Floer homologies, we define relative invariants arising from “quilted pseudoholomorphic surfaces”: Collections of pseudoholomorphic maps to various target spaces with “seam conditions” in Lagrangian correspondences and boundary conditions in Lagrangian… CONTINUE READING
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