A compactness result for H-holomorphic curves in symplectizations

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 H−holomorphic curves with a priori bounds on the harmonic 1−forms.

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Bibliographic Details
Main Authors: Doicu, Alexandru (Author) , Fuchs, Urs (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: February 27, 2018
In: Arxiv
Year: 2018, Pages: 1-54
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1802.08991
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Author Notes:Alexandru Doicu, Urs Fuchs
Description
Summary: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 H−holomorphic curves with a priori bounds on the harmonic 1−forms.
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