Tommaso Scognamiglio

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20242026

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math.AG2026

Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface

Florent Schaffhauser, Tommaso Scognamiglio

Let $X$ be a Riemann surface of genus $g ⩾ 2$ and let $σ : X \to X$ be an antiholomorphic involution on $X$ . Let $N (r, d)$ be the moduli space of semistable vector…

math.AG2025

Real Bialynicki-Birula flows in moduli spaces of Higgs bundles

Florent Schaffhauser, Tommaso Scognamiglio

Let $X$ be a compact Riemann surface $X$ of genus $⩾ 2$ and let $σ : X \to X$ be an anti-holomorphic involution. Using real and quaternionic systems of Hodge bundles, we stud…