Florent Schaffhauser

collaborators

5 papers

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 $I ¨ : X \to X$ be an antiholomorphic involution on $X$ . Let $N (r, d)$ be the moduli space of semistable vector…

math.AG2026

Hodge numbers of moduli of principal bundles on a curve

Chiu-Chu Melissa Liu, Florent Schaffhauser

We prove an inversion theorem for recursive formulas satisfied by certain families of converging power series in two variables. These power series are indexed by the Harder-Narasim…

math.AG2026

Harder-Narasimhan filtrations of decorated vector bundles

Emanuel Roth, Florent Schaffhauser

A decorated vector bundle is a vector bundle equipped with a reduction of structure group to a complex reductive subgroup $G \subseteq GL (r, C)$ . Examples include…

math.AG2025

Flat torsors in complex geometry

Juan SebastiÃ¡n Numpaque-Roa, Florent Schaffhauser

These notes grew out of a mini-course given by the second-named author at Casa MatemÃ¡tica Oaxaca in the Fall of 2022. Their purpose is to provide an exposition, directed at gradua…

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 $I ¨ : X \to X$ be an anti-holomorphic involution. Using real and quaternionic systems of Hodge bundles, we stu…