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arXiv · 1411.1586

Minimal symplectic atlases of Hermitian symmetric spaces

Roberto Mossa·Giovanni Placini
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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.

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Roberto Mossa, Giovanni Placini. 2014-11-06. Minimal symplectic atlases of Hermitian symmetric spaces. https://doi.org/10.1007/s12188-015-0107-0

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