4 papers · 1 filter
The universal moduli space of non-degenerate harmonic spinors
Siqi He, Gregory J. Parker, Thomas Walpuski
This article equips the universal moduli spaces of non-degenerate harmonic spinors and eigenspinors with tame Fréchet manifold structures and proves that t…
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…