The Gromov width of 4-dimensional tori
Symplectic Geometry
2014-11-11 v2
Abstract
We show that every 4-dimensional torus with a linear symplectic form can be fully filled by one symplectic ball. If such a torus is not symplectomorphic to a product of 2-dimensional tori with equal sized factors, then it can also be fully filled by any finite collection of balls provided only that their total volume is less than that of the 4-torus with its given linear symplectic form.
Cite
@article{arxiv.1111.6566,
title = {The Gromov width of 4-dimensional tori},
author = {Janko Latschev and Dusa McDuff and Felix Schlenk},
journal= {arXiv preprint arXiv:1111.6566},
year = {2014}
}
Comments
improved exposition, proof of Proposition 3.9 clarified, discussion of ellipsoid embeddings removed