A symplectic Gysin sequence

Mathematics – Symplectic Geometry

Scientific paper

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62 pages, 6 figures

Scientific paper

We use the theory of pseudo-holomorphic quilts to establish a counterpart, in
symplectic Floer homology, to the Gysin sequence for the homology of a
sphere-bundle. In a motivating class of examples, this "symplectic Gysin
sequence" is precisely analogous to an exact sequence describing the behaviour
of Seiberg-Witten monopole Floer homology for 3-manifolds under connected sum.

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