We show that for generic choices of parameters the moduli spaces of periodic monopoles (with singularities), i.e. monopoles on R2×S1 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.
Deformation Theory of Periodic Monopoles (With Singularities) / Foscolo, L.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 341:1(2016), pp. 351-390. [10.1007/s00220-015-2497-3]
Deformation Theory of Periodic Monopoles (With Singularities)
Foscolo L.
2016
Abstract
We show that for generic choices of parameters the moduli spaces of periodic monopoles (with singularities), i.e. monopoles on R2×S1 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.File allegati a questo prodotto
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