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Calabi-Yau structures on Rabinowitz Fukaya categories

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arxiv 2304.02561 v3 pith:YQM7OQ3L submitted 2023-04-05 math.SG

Hanwool Bae , Wonbo Jeong , Jongmyeong Kim This is my paper · ORCID
classification math.SG
keywords fukayacategoryrabinowitzadmitsassumingcalabi--yaucalabi-yaucategories
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abstract

In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain $M$ of dimension $2n$ is $(n-1)$-Calabi--Yau assuming the wrapped Fukaya category of $M$ admits an at most countable set of Lagrangians that generate it and satisfy some finiteness condition on morphism spaces between them.

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Cited by 1 Pith paper

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  1. Rational contact instantons and Legendrian Fukaya category

    math.SG 2024-11 reject novelty 6.0 of 10

    A filtered A-infinity category, the Legendrian CI Fukaya category, is defined using moduli spaces of contact instantons with Reeb chord asymptotics.

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