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2022•White Rose Research Online (University of Leeds, The University of Sheffield, University of York)Open access

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

J. Hicks, Cheuk Yu Mak

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Abstract

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

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

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Available abstract

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

Key concepts: Symplectic geometry, Lagrangian, Flexibility (engineering), Mathematics, Pure mathematics, Geometry, Statistics

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