On the agreement of symplectic capacities in high dimension
Symplectic Geometry
2023-07-25 v1
Abstract
A theorem of Gutt-Hutchings-Ramos asserts that all normalized symplectic capacities give the same value for monotone four-dimensional toric domains. We generalize this theorem to arbitrary dimension. The new ingredient in our proof is the construction of symplectic embeddings of "-shaped" domains in any dimension into corresponding infinite cylinders; this resolves a conjecture of Gutt-Pereira-Ramos in the affirmative.
Cite
@article{arxiv.2307.12125,
title = {On the agreement of symplectic capacities in high dimension},
author = {Dan Cristofaro-Gardiner and Richard Hind},
journal= {arXiv preprint arXiv:2307.12125},
year = {2023}
}