Deformation theory of periodic monopoles (with singularities)

Abstract

We show that for generic choices of parameters the moduli spaces of periodic monopoles (with singularities), i.e. monopoles on ${\mathbb{R}}^2\times {\mathbb{S}}^1$ possibly singular at a finite collection of points, are either empty or smooth hyperkähler manifolds. Furthermore, we prove an index theorem and therefore compute the dimension of the moduli spaces.

References in corpus (2)

• Moduli of Monopole Walls and Amoebas
• A Callias-type index theorem with degenerate potentials

Cited by in corpus (4)

• Gravitational instantons with faster than quadratic curvature decay (III)
• Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
• A gluing construction for periodic monopoles
• A New Gauge-Theoretic Construction of 4-Dimensional Hyperkähler ALE Spaces