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Holomorphic curves in the presence of holomorphic hypersurface foliations

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arxiv 1902.02700 v1 pith:TVHJSPEC submitted 2019-02-07 math.SG

Agustin Moreno , Richard Siefring This is my paper · ORCID
classification math.SG
keywords holomorphiccurvesfoliationspresenceresultalgebraicapplicationsauthor
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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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  1. Unknottedness of symplectic submanifold fillings

    math.SG 2025-06 conditional novelty 6.0 of 10

    Symplectic fillings of the standard codimension-2 contact sphere in a symplectic ball are smoothly isotopic to the standard linear disk.

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