Kähler-Yang-Mills Equations and Vortices

The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equation...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2024
1. Verfasser: García-Prada, Oscar
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2024
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/212163
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Kähler-Yang-Mills Equations and Vortices. Oscar García-Prada. SIGMA 20 (2024), 032, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equations related to vortices — solutions to certain Yang-Mills-Higgs equations.
ISSN:1815-0659