Upper bound for the Gromov width of coadjoint orbits of compact Lie groups

TL;DR

This paper establishes an upper bound for the Gromov width of coadjoint orbits of compact Lie groups by computing specific Gromov Witten invariants, linking to Gromov's nonsqueezing theorem.

Contribution

It introduces a method to bound the Gromov width of coadjoint orbits using Gromov-Witten invariants, extending the understanding of symplectic capacities in Lie group settings.

Findings

Derived an explicit upper bound for Gromov width

Connected Gromov-Witten invariants to symplectic capacity bounds

Extended techniques related to Gromov's nonsqueezing theorem

Abstract

We find an upper bound for the Gromov width of coadjoint orbits of compact Lie groups with respect to the Kirillov Kostant Souriau form by computing certain Gromov Witten invariants, the approach presented here is closely related to the one used by Gromov in his celebrated nonsqueezing theorem.