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Award ID contains: 1747553

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  1. (, Duke Mathematical Journal)
    null (Ed.)
    Full Text Available 
  2. ; ; (, Publications mathématiques de l'IHÉS)
    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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  3. (, Proceedings of symposia in pure mathematics)
    We briefly survey the Hilbert--Smith Conjecture, and we include a proof of it in dimension two (where it is originally due to Montgomery--Zippin). 
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    Accepted Manuscript Full Text Available