On the agreement of symplectic capacities in high dimension

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&q...

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Bibliographic Details
Published inarXiv.org
Main Authors Cristofaro-Gardiner, Dan, Hind, Richard
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.07.2023
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Theorems
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Summary: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.
ISSN:2331-8422