Gregory J. Parker

collaborators

4 papers

math.DG2026

$Z_{2}$ -Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

Siqi He, Gregory J. Parker

Given a pair of $Z_{2}$ -harmonic spinors (resp. 1-forms) on closed Riemannian 3-manifolds $(Y_{1}, g_{1})$ and $(Y_{2}, g_{2})$ , we construct $Z_{2}$ -harmonic spinors (resp. 1…

math.DG2026

Concentrating Local Solutions of the Two-Spinor Seiberg-Witten Equations on 3-Manifolds

Gregory J. Parker

Given a compact 3-manifold $Y$ and a $Z_{2}$ -harmonic spinor $(Z_{0}, A_{0}, I^¦_{0})$ with singular set $Z_{0}$ , this article constructs a family of local solutions…

math.DG2026

Gluing $Z_{2}$ -Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds

Gregory J. Parker

Given a $Z_{2}$ -harmonic spinor satisfying some genericity assumptions, this article constructs a 1-parameter family of two-spinor Seiberg-Witten monopoles converging to it a…

math.DG2025

Deformations of $Z_{2}$ -Harmonic Spinors on 3-Manifolds

Gregory J. Parker

A $Z_{2}$ -harmonic spinor on a 3-manifold $Y$ is a solution of the Dirac equation on a bundle that is twisted around a submanifold $Z$ of codimension 2 called the si…

Z2​-Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

Concentrating Local Solutions of the Two-Spinor Seiberg-Witten Equations on 3-Manifolds

Gluing Z2​-Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds

Deformations of Z2​-Harmonic Spinors on 3-Manifolds

$Z_{2}$ -Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

Gluing $Z_{2}$ -Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds

Deformations of $Z_{2}$ -Harmonic Spinors on 3-Manifolds