Journal of Symplectic Geometry

Volume 13 (2015)

Number 4

Symplectic capacities of Hermitian symmetric spaces of compact and noncompact type

Pages: 1049 – 1073

DOI: https://dx.doi.org/10.4310/JSG.2015.v13.n4.a7

Authors

Andrea Loi (Dipartimento di Matematica e Informatica, Università di Cagliari, Italy)

Roberto Mossa (Dipartimento di Matematica, Università di Cagliari, Italy)

Fabio Zuddas (Dipartimento di Matematica e Informatica, Università degli studi di Udine, Italy)

Abstract

Inspired by the work of G. Lu on pseudo symplectic capacities we obtain several results on the Gromov width and the Hofer–Zehnder capacity of Hermitian symmetric spaces of compact type. Our results and proofs extend those obtained by Lu for complex Grassmannians to Hermitian symmetric spaces of compact type. We also compute the Gromov width and the Hofer–Zehnder capacity for Cartan domains and their products.

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Published 17 March 2016