29 citations · 44 across the 4 of their papers we have counts for
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math.AG2008★ 1 cited
Semistable principal Higgs bundles
Ugo Bruzzo, Beatriz Grana Otero
We give a Miyaoka-type semistability criterion for principal Higgs G-bundles E on complex projective manifolds of any dimension, i.e., we prove that E is semistable and the second…
math.AG2008★ 1 cited
Instanton counting on Hirzebruch surfaces
Ugo Bruzzo, Rubik Poghossian, Alessandro Tanzini
We perform a study of the moduli space of framed torsion free sheaves on Hirzebruch surfaces by using localization techniques. After discussing general properties of this moduli sp…
math.AG2008★ 13 cited
On semistable principal bundles over a complex projective manifold
Indranil Biswas, Ugo Bruzzo
Let G be a simple linear algebraic group defined over the complex numbers. Fix a proper parabolic subgroup P of G and a nontrivial antidominant character χof P. We prove that a hol…