Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

J.-P. Chassé; J. Hicks; Y. J. Nho

doi:10.1112/blms.70280

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

J.-P. Chassé, J. Hicks^*, Y. J. Nho

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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 ∩ (ℝ^k × √-1 ℝ^n-k) inside ℂⁿ. Our construction closely follows the methods used by Duval and Abouzaid and corrects an error appearing in the latter approach.

Original language	English
Article number	e70280
Number of pages	18
Journal	Bulletin of the London Mathematical Society
Volume	58
Issue number	2
DOIs	https://doi.org/10.1112/blms.70280
Publication status	Published - 11 Feb 2026

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title = "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 ℝn ∩ (ℝk × √-1 ℝn-k) inside ℂn. Our construction closely follows the methods used by Duval and Abouzaid and corrects an error appearing in the latter approach.",

author = "J.-P. Chass{\'e} and J. Hicks and Nho, \{Y. J.\}",

note = "Funding: Schweizerischer Nationalfonds zur F{\"o}rderung der Wissenschaftlichen Forschung (GrantNumber(s): 200021\_204107; Grant recipient(s): J.-P. Chass{\'e}). Engineering and Physical Sciences Research Council (GrantNumber(s): EP/V049097/1, EP/Z53528X/1; Grant recipient(s): Jeffrey Hicks)",

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doi = "10.1112/blms.70280",

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T1 - Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

AU - Chassé, J.-P.

AU - Hicks, J.

AU - Nho, Y. J.

N1 - Funding: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (GrantNumber(s): 200021_204107; Grant recipient(s): J.-P. Chassé). Engineering and Physical Sciences Research Council (GrantNumber(s): EP/V049097/1, EP/Z53528X/1; Grant recipient(s): Jeffrey Hicks)

PY - 2026/2/11

Y1 - 2026/2/11

N2 - 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 × √-1 ℝn-k) inside ℂn. Our construction closely follows the methods used by Duval and Abouzaid and corrects an error appearing in the latter approach.

AB - 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 × √-1 ℝn-k) inside ℂn. Our construction closely follows the methods used by Duval and Abouzaid and corrects an error appearing in the latter approach.

U2 - 10.1112/blms.70280

DO - 10.1112/blms.70280

M3 - Article

SN - 0024-6093

VL - 58

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 2

M1 - e70280

ER -

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Abstract

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