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

2022/08/30 by Hicks, Jeff, Mak, Cheuk Yu
#53D12 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2208.14498

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.

Related

• Lagrangian Cobordism I
• Obstructions to the Existence and Squeezing of Lagrangian Cobordisms
• Lagrangian cobordism and metric invariants
• A note on exact Lagrangian cobordisms with disconnected Legendrian ends
• Constructions of Lagrangian cobordisms