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Covariantly functorial wrapped Floer theory on Liouville sectors

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arxiv 1706.03152 v3 pith:PYPH2UW6 submitted 2017-06-09 math.SG

Sheel Ganatra , John Pardon , Vivek Shende This is my paper · ORCID
classification math.SG
keywords liouvillesectorscovariantlyfunctorialwrappedabouzaidboundarycall
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Orlov and Viterbo functors in partially wrapped Fukaya categories

    math.SG 2019-08 accept novelty 8.0 of 10

    For a swappable stop the Orlov functor is spherical and its twist equals the geometric wrap-once map, while the Viterbo transfer map to a Weinstein subdomain is a homological epimorphism.

  2. Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I

    math.SG 2025-08 conditional novelty 5.0 of 10

    Each closed exact Lagrangian gives a finite-dimensional dg-module over the Chekanov-Eliashberg algebra, and Lagrangian Floer cohomology is recovered as derived Hom between such modules.

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