Výsledky vyhledávání - "Azizeh Nozad"

Let $G$ be a real reductive Lie group, and $H^{\mathbb{C}}$ the complexification of its maximal compact subgroup $H\subset G$. We consider classes of semistable $G$-Higgs bundles over a Riemann surface $X$ of genus $g\geq2$ whose underlying $H^{\math

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https://hdl.handle.net/10216/125572

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Serre polynomials of SLn- and PGLn-character varieties of free groups

Autor: Carlos Florentino, Alfonso Zamora, Azizeh Nozad

Publikováno v: Journal of Geometry and Physics. 161:104008

Let G be a complex reductive group and X r G denote the G -character variety of the free group of rank r . Using geometric methods, we prove that E ( X r S L n ) = E ( X r P G L n ) , for any n , r ∈ N , where E ( X ) denotes the Serre (also known

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https://doi.org/10.1016/j.geomphys.2020.104008

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Quiver Bundles and Wall Crossing for Chains

Autor: Peter B. Gothen, Azizeh Nozad

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural $$\mathbb {C}^*$$ -action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundle to the $${{\mathrm{Hom}}}$$ -complex of two chains,

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Birationality of moduli spaces of twisted $\mathrm{U}(p,q)$-Higgs bundles

Autor: Azizeh Nozad, Peter B. Gothen

A $\mathrm{U}(p,q)$-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 them. Their moduli spaces depend on a real parameter $\alpha$. In this p

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