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- W4313447742 abstract "This paper constructs and studies the Rabinowitz (wrapped) Fukaya category, a categorical invariant of exact cylindrical Lagrangians in a Liouville manifold whose cohomological morphisms, ``Rabinowitz wrapped Floer homology groups measure the failure of wrapped Floer cohomology to satisfy Poincare duality (and in particular vanish for any pair with at least one compact Lagrangian). Our main result, answering a conjecture of Abouzaid, relates the Rabinowitz and usual wrapped Fukaya category by way of a general construction introduced by Efimov, the categorical formal punctured neighborhood of infinity. As an application, we show how Rabinowitz Fukaya categories can be fit into - and in particular often computed in terms of - mirror symmetry." @default.
- W4313447742 created "2023-01-06" @default.
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- W4313447742 date "2022-12-30" @default.
- W4313447742 modified "2023-10-18" @default.
- W4313447742 title "Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity" @default.
- W4313447742 doi "https://doi.org/10.48550/arxiv.2212.14863" @default.
- W4313447742 hasPublicationYear "2022" @default.
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