Minimal symplectic atlases of Hermitian symmetric spaces

Abstract

In this paper we compute the minimal number of Darboux chart needed to cover a Hermitian symmetric space of compact type in terms of the degree of their embeddings in $\mathbb{C}{P}^N$. The proof is based on the recent work of Y. B. Rudyak and F. Schlenk [18] and on the symplectic geometry tool developed by the first author in collaboration with A. Loi and F. Zuddas [12]. As application we compute this number for a large class of Hermitian symmetric spaces of compact type.

8 pages

References in corpus (4)

• The Gromov width of 4-dimensional tori
• Symplectic capacities of Hermitian symmetric spaces
• Some remarks on the Gromov width of homogeneous Hodge manifolds
• Upper bound for the Gromov width of coadjoint orbits of type A