Kähler-Yang-Mills Equations and Vortices

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Author: García-Prada, Oscar
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212163
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Kähler-Yang-Mills Equations and Vortices. Oscar García-Prada. SIGMA 20 (2024), 032, 13 pages

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...