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Compactness Results 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 thesis we consider the problem of compactifying the moduli space of H−holomorphic curves with a priori bounds on the harmonic 1−forms.

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Metadaten
Author:Alexandru Doicu
URN:urn:nbn:de:bvb:384-opus4-397000
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/39700
Advisor:Kai CieliebakGND
Type:Doctoral Thesis
Language:English
Date of Publication (online):2018/11/02
Year of first Publication:2018
Publishing Institution:Universität Augsburg
Granting Institution:Universität Augsburg, Mathematisch-Naturwissenschaftlich-Technische Fakultät
Date of final exam:2018/07/27
Release Date:2018/11/02
Tag:compactness; contact manifold; harmonic; holomorphic curves; symplectic manifold
GND-Keyword:Holomorphe Kurve; Symplektische Mannigfaltigkeit; Kontaktmannigfaltigkeit; Kompaktheit
Page Number:138
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht