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arXiv · 2306.04761

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Jean-Philippe Chassé·Jeff Hicks·Yoon Jae Nick Nho
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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.

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Jean-Philippe Chassé, Jeff Hicks, Yoon Jae Nick Nho. 2023-06-07. Reverse isoperimetric inequalities for Lagrangian intersection Floer theory. https://arxiv.org/abs/2306.04761

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