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arXiv · 1706.03152

Covariantly functorial wrapped Floer theory on Liouville sectors

Sheel Ganatra·John Pardon·Vivek Shende
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Abstract

We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for Liouville sectors, and we show that these invariants are covariantly functorial with respect to inclusions of Liouville sectors. From this foundational setup, a local-to-global principle for Abouzaid's generation criterion follows.

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Sheel Ganatra, John Pardon, Vivek Shende. 2017-06-09. Covariantly functorial wrapped Floer theory on Liouville sectors. https://doi.org/10.1007/s10240-019-00112-x

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