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math.DG2018
An -index formula of monopoles with Dirac-type singularities
Masaki Yoshino
We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian -folds, and we also calculate the -indices of them.
math.DG2018
The Nahm transform of spatially periodic instantons
Masaki Yoshino
We construct the Nahm transform from finite energy instantons on the product of a real line and a three dimensional torus to Dirac-type singular monopoles on the dual torus. Moreov…