The $ \mathbb{C}^* $-action and stratifications of the moduli space of semi-stable Higgs bundles of rank $ 5 $

Let $ X $ be a compact Riemann surface of genus $ g\geq 2 $. The moduli space $ \mathcal{M}(r, d) $ of rank $ r $ and degree $ d $ semi-stable Higgs bundles over $ X $ admitted a stratification, called Shatz stratification, which was defined by the Harder-Narasimhan type of the Higgs bundles. There...

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Bibliographic Details
Main Author: Álvaro Antón-Sancho
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025159
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