Geometric composition in quilted Floer theory

Details Geometric composition in quilted Floer theory Geometric composition in quilted Floer theory

2010-03-23

arxiv.org/abs/1003.4493v3

Mathematics

Symplectic Geometry

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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