3 papers
math.DG2025
On the non-Archimedean Hitchin map for
Jiahuang Chen, Siqi He
Let be a non-Archimedean valued field, a closed Riemann surface of genus at least two, and its fundamental group. Building on the theory of equivariant harmonic maps in…
math.DG2025
The asymptotics of the -Hitchin metric on the singular locus: subintegrable systems
Siqi He, Johannes Horn, Nianzi Li
We study the asymptotic hyperkähler geometry of the -Hitchin moduli space over the singular fibers of the Hitchin fibration. We extend the previously kno…
math.DG2024
Z/2 harmonic 1-forms, R-trees, and the Morgan-Shalen compactification
Siqi He, Richard Wentworth, Boyu Zhang
This paper studies the relationship between an analytic compactification of the moduli space of flat connections on a closed, oriented 3-manifold de…