Calabi-Yau structures on Rabinowitz Fukaya categories

Autor: Bae, Hanwool, Jeong, Wonbo, Kim, Jongmyeong
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 39 pages, 4 figures, accepted for publication by the Journal of Topology
Databáze: arXiv