$\mathcal{H}$‑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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$ \ mathcal {H} $全同构曲线在紧缩下的紧致性结果

$ \ mathcal {H} $-全亚纯曲线是对拟全纯曲线方程的一种特殊修改的解决方案，在方程中涉及一个谐波$ 1 $-形式作为扰动项。在本文中，我们以谐波$ 1 $形式的先验约束来压缩$ \ mathcal {H} $-亚纯曲线的模空间。