non-compactIn this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.Zhang, ChuanjingZhang, PanZhang, XiUniv Sci &Transactions of the American Mathematical Society
Zhang, Semistable Higgs bundles over compact Gauduchon manifolds. J. Geom. Anal. 28 (2018), no. 1, 627-642.Y. Nie, X. Zhang. Semistable Higgs bundles over compact Gauduchon manifolds. J. Geom. Anal., 2017, DOI: 10.1007/s12220-017-9835-y....
Let M be a compact complex manifold equipped with a Gauduchon metric. If TM is holomorphically trivial, and ( V , θ ) is a stable SL ( r , C )-Higgs bundle on M, then we show that θ = 0. We show that the correspondence between Higgs bundles and representations of the ...
When identified with sequences of irreducible Hermitian-Einstein connections, sequences of stable holomorphic bundles of fixed topological type and bounded degree on a compact complex surface equipped with a Gauduchon metric are shown to have strongly convergent subsequences after blowing-up and pulling-...
I. Biswas, Stable Higgs bundles on compact Gauduchon manifolds, Comptes Ren. Acad. Sci. 349 (2011), 71-74.I. Biswas: Stable Higgs bundles on compact Gauduchon manifolds, Com. Ren. Acad. Sci. Math. 349 (2011), 71-74.Biswas, I.: Stable Higgs bundles on compact Gauduchon manifolds. ...