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Covariantly functorial wrapped Floer theory on Liouville sectors
Publications Mathématiques de l'IHÉS, Volume 131 (2020), pp. 73-200
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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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DOI: 10.1007/s10240-019-00112-x 
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     author = {Sheel Ganatra and John Pardon and Vivek Shende},
     title = {Covariantly functorial wrapped {Floer} theory on {Liouville} sectors},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {73--200},
     year = {2020},
     publisher = {Springer Berlin Heidelberg},
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Sheel Ganatra; John Pardon; Vivek Shende. Covariantly functorial wrapped Floer theory on Liouville sectors. Publications Mathématiques de l'IHÉS, Volume 131 (2020), pp. 73-200. doi: 10.1007/s10240-019-00112-x

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