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arXiv · 1304.2827

Holomorphic curves into infinite dimensional almost Kähler manifolds and Hamiltonian dynamics

Tsuyoshi Kato
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Abstract

We study analysis over infinite dimensional manifolds consisted by sequences of almost Kähler manifolds. In particular we develop moduli theory of pseudo holomorphic curves into the spaces with high symmetry. As applications, we study Hamiltonian dynamics over the infinite dimensional manifolds, and induce some dynamical properties of Hamiltonian diffeomorphisms on such spaces.

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Tsuyoshi Kato. 2017-11-06. Holomorphic curves into infinite dimensional almost Kähler manifolds and Hamiltonian dynamics. https://arxiv.org/abs/1304.2827

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