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Symplectic capacities of Hermitian symmetric spaces

Symplectic Geometry 2016-06-29 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1302.1984,
  title  = {Symplectic capacities of Hermitian symmetric spaces},
  author = {Andrea Loi and Roberto Mossa and Fabio Zuddas},
  journal= {arXiv preprint arXiv:1302.1984},
  year   = {2016}
}

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28 pages