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arXiv · 2304.02561

Calabi-Yau structures on Rabinowitz Fukaya categories

Hanwool Bae·Wonbo Jeong·Jongmyeong Kim
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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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Hanwool Bae, Wonbo Jeong, Jongmyeong Kim. 2023-04-05. Calabi-Yau structures on Rabinowitz Fukaya categories. https://arxiv.org/abs/2304.02561

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