6 papers · 1 filter
Calabi surgery for Z/2 harmonic 1-forms
Jiahuang Chen, Siqi He, Dashen Yan
We prove a 2-valued analogue of Calabi's intrinsic harmonicity theorem and use it to introduce the Calabi surgery method, a surgery theory for harmonic -forms. On…
Deformation rigidity for Z/2 eigensections
Andriy Haydys, Siqi He, Willem Adriaan Salm
We prove a rigidity result for certain critical Z/2 eigensections of the Laplacian on S^2 associated to a flat real line bundle determined by a branch-point configuration. More pre…
Metric perturbations and deformations of k-nondegenerate Z/2-harmonic 1-forms
Siqi He, Willem Adriaan Salm
We study metric perturbations and deformation theory for degenerate Z/2-harmonic 1-forms. For a natural class of degenerate examples, we prove that after a suitable perturbation of…
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…
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…
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…