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arXiv · 1902.02700

Holomorphic curves in the presence of holomorphic hypersurface foliations

Agustin Moreno·Richard Siefring
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Abstract

We prove a result which establishes restrictions on the pseudoholomorphic curves which can exist in a stable Hamiltonian manifold in the presence of certain $\mathbb{R}$-invariant foliations of the symplectization by holomorphic hypersurfaces. This result has applications in the first author's work on algebraic torsion in higher dimensional contact manifolds.

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Agustin Moreno, Richard Siefring. 2019-02-07. Holomorphic curves in the presence of holomorphic hypersurface foliations. https://arxiv.org/abs/1902.02700

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