Preprint
Sep 2026
Stratification of Joint Moduli Spaces of Higgs Bundles
We study the marked analytic moduli space of polystable degree-zero $\mathrm{SL}_r(\C)$-Higgs bundles over Teichm\"uller space. The connected components of the orbit-type loci defined by the full determinant-one stabilizers form a complex Whitney stratification. The projection to Teichm\"uller space is a holomorphic su...
Shi-Yu Cao
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