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arXiv · 2307.12125

On the agreement of symplectic capacities in high dimension

Dan Cristofaro-Gardiner·Richard Hind
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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 "$L$-shaped" domains in any dimension into corresponding infinite cylinders; this resolves a conjecture of Gutt-Pereira-Ramos in the affirmative.

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Dan Cristofaro-Gardiner, Richard Hind. 2023-07-22. On the agreement of symplectic capacities in high dimension. https://arxiv.org/abs/2307.12125

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