The Gromov width of 4-dimensional tori

By J. Latschev, D. Mcduff, F. Schlenk. 2011

52 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/dcb9f37192d6b4359b28fd5d64d3358b3d5817b9

How researchers see this paper

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In Geometry and Topology

1. F. Schlenk
2. Michael Usher
3. Michael Hutchings
4. D. Mcduff

Citations in the corpus

• Symplectic embedding problems, old and new (2017, background): “The J-curves guaranteed by SWT theory often have genus, and different curves with genus are used in [12, 70] for 4-dimensional ball packings.”