Some cute applications of Lagrangian cobordisms towards examples in quantitative symplectic geometry

TL;DR

This paper explores the use of Lagrangian cobordisms to enhance examples in symplectic squeezing problems and establishes a flexibility result linking Lagrangian isotopy and cobordism.

Contribution

It introduces new constructions with Lagrangian cobordisms that improve existing symplectic squeezing examples and proves a novel flexibility result relating isotopy and cobordism.

Findings

Improved symplectic squeezing examples using Lagrangian cobordisms

Proved Lagrangian isotopic submanifolds are also cobordant

Enhanced understanding of Lagrangian flexibility in symplectic geometry

Abstract

We provide some constructions using Lagrangian cobordisms which improve known examples for some symplectic squeezing problems. Additionally, we prove a flexibility result that Lagrangian submanifolds which are Lagrangian isotopic are also Lagrangian cobordant.