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arXiv · 1411.6946

Deformation theory of periodic monopoles (with singularities)

Lorenzo Foscolo
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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.

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Lorenzo Foscolo. 2014-11-25. Deformation theory of periodic monopoles (with singularities). https://doi.org/10.1007/s00220-015-2497-3

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