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arXiv · 1802.08991

A Compactness Result for $\mathcal{H}-$holomorphic Curves in Symplectizations

Alexandru Doicu·Urs Fuchs
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Abstract

$\mathcal{H}-$holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equation in symplectizations involving a harmonic $1-$form as perturbation term. In this paper we compactify the moduli space of $\mathcal{H}-$holomorphic curves with a priori bounds on the harmonic $1-$forms.

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Alexandru Doicu, Urs Fuchs. 2018-02-25. A Compactness Result for $\mathcal{H}-$holomorphic Curves in Symplectizations. https://arxiv.org/abs/1802.08991

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