A compactness result for $\mathcal{H}$‑holomorphic curves in symplectizations

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2018-02-25 DOI:10.4310/JSG.2021.V19.N1.A2

Alexandru Doicu, Urs Fuchs

引用次数: 0

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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$\mathcal{H}$‑全纯曲线的紧致性结果

$\mathcal{H}-$全纯曲线是包含$1-$调和形式作为扰动项的复化伪全纯曲线方程的一种特殊修正的解。本文紧化了$ $1-$调和形式上具有先验界的$ $数学{H}-$全纯曲线的模空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.