We announce a result about the extension of the Hitchin-Kobayashi correspondence to principal Higgs bundles. A principal Higgs bundle on a compact K"ahler manifold, with structure group a connected linear algebraic reductive group, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure.

Approximate Hitchin-Kobayashi correspondence for Higgs G-bundles / Bruzzo, U.; Graña Otero, B.. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 11:7(2014), pp. 1460015.1-1460015.7. [10.1142/S0219887814600159]

Approximate Hitchin-Kobayashi correspondence for Higgs G-bundles

Bruzzo, U.;Graña Otero, B.
2014-01-01

Abstract

We announce a result about the extension of the Hitchin-Kobayashi correspondence to principal Higgs bundles. A principal Higgs bundle on a compact K"ahler manifold, with structure group a connected linear algebraic reductive group, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure.
2014
11
7
1
7
1460015
Bruzzo, U.; Graña Otero, B.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15272
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