24 citations · 53 across the 10 of their papers we have counts for
8 papers · 1 filter
On orthogonal decompositions of hermitian Higgs bundles
Sergio A. H. Cardona, Kenett Martínez-Ruiz
A hermitian Higgs bundle is a triple , where is a Higgs bundle and is a holomorphic hermitian vector bundle. It is well-…
Twistor sections of Dirac bundles
Sergio A. H. Cardona, Pedro Solórzano, Iván Téllez
A Dirac bundle is a euclidean bundle over a riemannian manifold which is a compatible left -module, together with a metric connection also compatible with the Cliffor…
On -Hitchin's equations and Higgs bundles: a survey
S. A. H. Cardona, H. García-Compeán, A. Martínez-Merino
We study the -Hitchin equations introduced by Ward \cite{Ward 2} from the geometric viewpoint of Higgs bundles. After an introduction on Higgs bundles and -Hitchin's equati…
On a functional of Kobayashi for Higgs bundles
Sergio A. H. Cardona, Claudio Meneses
We define a functional for the space of Hermitian metrics on an arbitrary Higgs bundle over a compact Kähler manifold, as a natural generalization of the mean curvatu…
On Gieseker stability for Higgs sheaves
S. A. H. Cardona, O. Mata-Gutiérrez
We review the notion of Gieseker stability for torsion-free Higgs sheaves. This notion is a natural generalization of the classical notion of Gieseker stability for torsion-free co…
-stability for Higgs sheaves over compact complex manifolds
S. A. H. Cardona
We introduce the notion of -stability for torsion-free Higgs sheaves as a natural generalization of the notion of -stability for torsion-free coherent sheaves over compact co…
Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. II: Higgs sheaves and admissible structures
S. A. H. Cardona
We study the basic properties of Higgs sheaves over compact Kähler manifolds and we establish some results concerning the notion of semistability; in particular, we show that any e…
Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. I: Generalities and the one-dimensional case
S. A. H. Cardona
We review the notions of (weak) Hermitian-Yang-Mills structure and approximate Hermitian-Yang-Mills structure for Higgs bundles. Then, we construct the Donaldson functional for Hig…