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arXiv · 0807.1863

A symplectic Gysin sequence

Timothy Perutz
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Abstract

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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Timothy Perutz. 2008-07-11. A symplectic Gysin sequence. https://arxiv.org/abs/0807.1863

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