Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Complex Variables
2025-12-22 v2 Symplectic Geometry
Abstract
We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on inside . Our construction closely follows the methods used by Duval (2016) and Abouzaid (2021) and corrects an error appearing in the latter approach.
Cite
@article{arxiv.2306.04761,
title = {Reverse isoperimetric inequalities for Lagrangian intersection Floer theory},
author = {Jean-Philippe Chassé and Jeff Hicks and Yoon Jae Nick Nho},
journal= {arXiv preprint arXiv:2306.04761},
year = {2025}
}
Comments
19 pages, 2 figures. Major revisions simplifying section 2 following referee report. Version accepted to BLMS