Dimension of monopoles on asymptotically conic 3-manifolds
classification
🧮 math.DG
math.AP
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manifoldsasymptoticallyconicdimensionindexmonopolesobtainedunframed
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The virtual dimensions of both framed and unframed SU(2) magnetic monopoles on asymptotically conic 3-manifolds are obtained by computing the index of a Fredholm extension of the associated deformation complex. The unframed dimension coincides with the one obtained by Braam for conformally compact 3-manifolds. The computation follows from the application of a Callias-type index theorem.
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