Filtered Fukaya categories
Symplectic Geometry
2024-07-25 v2
Abstract
We upgrade the natural weakly-filtered structure of Fukaya categories discussed in arXiv:1806.06630 to a genuinely filtered one. The main tools are a Morse-Bott, or 'cluster', model for Fukaya categories and a particular choice of class of perturbation data. We also include the construction of continuation -functors following arXiv:1604.02540v2 in the context of filtered Fukaya categories.
Keywords
Cite
@article{arxiv.2306.13600,
title = {Filtered Fukaya categories},
author = {Giovanni Ambrosioni},
journal= {arXiv preprint arXiv:2306.13600},
year = {2024}
}
Comments
54 pages. Revised version accepted for publication on Journal of Symplectic Geometry