14 citations · 27 across the 7 of their papers we have counts for
7 papers
Topology of the moduli spaces of Higgs bundles over abelian varieties
Indranil Biswas, Carlos Florentino, Azizeh Nozad
Abstract. Let G be a complex reductive group and A be an Abelian variety of dimension d over . We determine the Poincaré polynomials and also the mixed Hodge polynomial…
On Hodge polynomials of Singular Character Varieties
Carlos Florentino, Azizeh Nozad, Jaime Silva +1
Let be the -character variety of , where is a complex reductive group and a finitely presented group. We introduce new techni…
Serre polynomials of - and -character varieties of free groups
Carlos Florentino, Azizeh Nozad, Alfonso Zamora
Let be a complex reductive group and denote the -character variety of the free group of rank . Using geometric methods, we prove that $E(\mathcal{X}_{r…
Generating series for the -polynomials of -character varieties
Carlos Florentino, Azizeh Nozad, Alfonso Zamora
With G=GL(n,C), let be the G-character variety of a given finitely presented group , and let be the locus of irred…
Homotopy Type of Moduli Spaces of G-Higgs Bundles and Reducibility of the Nilpotent Cone
C. Florentino, P. B. Gothen, A. Nozad
Let be a real reductive Lie group, and the complexification of its maximal compact subgroup . We consider classes of semistable -Higgs bundles o…
Quiver Bundles and Wall Crossing for Chains
P. B. Gothen, A. Nozad
Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural C*-action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundl…
Birationality of moduli spaces of twisted -Higgs bundles
Peter B. Gothen, Azizeh Nozad
A -Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between th…