On the abstract wrapped Floer setups
Symplectic Geometry
2025-12-30 v1
Abstract
The wrapped Fukaya category of a Liouville sector is defined via an axiomatic construction from the associated abstract wrapped Floer setup. In this paper, we propose a modified axiomatic construction, removing the irrelevant choices and the factorization axiom from the abstract wrapped Floer setup. Based on our modification, we reformulate and then prove a conjecture which essentially claims that the wrapped Fukaya category is obtained as the infinity categorical localization along continuation maps. This amounts to compare the two axiomatic constructions.
Keywords
Cite
@article{arxiv.2512.22755,
title = {On the abstract wrapped Floer setups},
author = {Hayato Morimura},
journal= {arXiv preprint arXiv:2512.22755},
year = {2025}
}
Comments
22 pages, to appear in HHA