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

Published 25 Feb 2018 in math.SG and math.DG | (1802.08991v1)

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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