225 citations · 576 across the 71 of their papers we have counts for
4 papers · 1 filter
Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles
Ugo Bruzzo, Beatriz Graña Otero
We generalize the Hitchin-Kobayashi correspondence between semistability and the existence of approximate Hermitian-Yang-Mills structures to the case of principal Higgs bundles. We…
Holomorphic Cartan geometry on manifolds with numerically effective tangent bundle
Indranil Biswas, Ugo Bruzzo
Let X be a compact connected Kaehler manifold such that the holomorphic tangent bundle TX is numerically effective. A theorem of Demailly, Peternell and Schenider says that there i…
Cohomology of skew-holomorphic Lie algebroids
Ugo Bruzzo, Vladimir Rubtsov
We introduce the notion of skew-holomorphic Lie algebroid on a complex manifold, and explore some cohomologies theories that one can associate to it. Examples are given in terms of…
On localization in holomorphic equivariant cohomology
Ugo Bruzzo, Vladimir Rubtsov
We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, C…