Gregory J. Parker

activity

20232026

collaborators

4 papers

math.DG2026

The universal moduli space of non-degenerate $Z /2 Z$ harmonic spinors

Siqi He, Gregory J. Parker, Thomas Walpuski

This article equips the universal moduli spaces of non-degenerate $Z /2 Z$ harmonic spinors with the structure of a tame Fréchet manifold and proves that the projec…

math.DG2024

$Z_{2}$ -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.DG2024

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.DG2023

Concentrating Dirac Operators and Generalized Seiberg-Witten Equations

Gregory J. Parker

This article studies a class of Dirac operators of the form $D_{ε} = D + ε^{- 1} A$ , where $A$ is a zeroth order perturbation vanishing on a subbundl…

The universal moduli space of non-degenerate Z/2Z harmonic spinors

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

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

Concentrating Dirac Operators and Generalized Seiberg-Witten Equations

The universal moduli space of non-degenerate $Z /2 Z$ harmonic spinors

$Z_{2}$ -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