English

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 Rn(Rk×1Rnk)\mathbb{R}^n\cap (\mathbb{R}^{k}\times \sqrt{-1}\mathbb{R}^{n-k}) inside Cn\mathbb{C}^n. Our construction closely follows the methods used by Duval (2016) and Abouzaid (2021) and corrects an error appearing in the latter approach.

Keywords

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

R2 v1 2026-06-28T10:59:22.280Z