Geometric composition in quilted Floer theory

Mathematics – Symplectic Geometry

Scientific paper

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27 pages, 3 figures. Minor revision, simplified the discussion in Section 3

Scientific paper

We prove that Floer cohomology of cyclic Lagrangian correspondences is
invariant under transverse and embedded composition of Lagrangians under a
general set of assumptions. We also give an application of this result in the
negatively monotone setting to construct an isomorphism in Floer theory of
broken fibrations.

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