English

Calabi-Yau structures on Rabinowitz Fukaya categories

Symplectic Geometry 2024-09-04 v3

Abstract

In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain MM of dimension 2n2n is (n1)(n-1)-Calabi--Yau assuming the wrapped Fukaya category of MM admits an at most countable set of Lagrangians that generate it and satisfy some finiteness condition on morphism spaces between them.

Keywords

Cite

@article{arxiv.2304.02561,
  title  = {Calabi-Yau structures on Rabinowitz Fukaya categories},
  author = {Hanwool Bae and Wonbo Jeong and Jongmyeong Kim},
  journal= {arXiv preprint arXiv:2304.02561},
  year   = {2024}
}

Comments

39 pages, 4 figures, accepted for publication by the Journal of Topology