English

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

R2 v1 2026-07-01T08:43:06.252Z