Symplectic embeddings of 4-dimensional ellipsoids: erratum

TL;DR

This paper corrects previous methods for symplectic embedding of 4D ellipsoids by proposing a more accurate inflation technique involving multiple intersecting surfaces, improving the mathematical understanding of symplectic embeddings.

Contribution

It introduces a corrected inflation procedure for symplectic embeddings, utilizing multiple intersecting surfaces instead of a single surface, resolving earlier inaccuracies.

Findings

Corrected the inflation method for symplectic embeddings

Established a new approach using intersecting symplectic surfaces

Clarified the mathematical procedure for 4D ellipsoid embeddings

Abstract

This note describes a correct way to perform the inflation procedures claimed in the papers on embedding ellipsoids, Journ. Top. 2 (2009), 1-22 and 589-623. The idea is to inflate along a collection of transversally and positively intersecting symplectic surfaces (as in Li--Usher (JSG 2006)) rather than along a single embedded surface.