Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Biswas, I., Gómez, T.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146826
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group / I. Biswas, T.L. Gómez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ.

We investigate principal G-bundles on a compact Kähler manifold, where G is a complex algebraic group such that the connected component of it containing the identity element is reductive. Defining (semi)stability of such bundles, it is shown that a principal G-bundle EG admits an Einstein-Hermitian...