Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

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

19 pages, 2 figures. Major revisions simplifying section 2 following referee report. Version accepted to BLMS