Symplectic embeddings into disk cotangent bundles

نویسندگان

چکیده

In this paper, we compute the embedded contact homology (ECH) capacities of disk cotangent bundles $D^*S^2$ and $D^*\mathbb{R} P^2$. We also find sharp symplectic embeddings into these domains. particular, their Gromov widths. order to do that, explicitly calculate ECH chain complexes $S^*S^2$ $S^* \mathbb{R} P^2$ using a direct limit argument on action inspired by Bourgeois's Morse-Bott approach ideas from Nelson-Weiler's work prequantization bundles. Moreover, use integrable systems techniques explicit embeddings. prove that hemisphere punctured sphere are symplectomorphic an open ball bidisk, respectively.

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ژورنال

عنوان ژورنال: Journal of Fixed Point Theory and Applications

سال: 2022

ISSN: ['1661-7746', '1661-7738']

DOI: https://doi.org/10.1007/s11784-022-00979-0