Date of Award

2015

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

Tony Pantev

Abstract

We study higher dimensional versions of monopoles with Dirac singularities on manifolds which are principal circle bundles over a smooth complex projective variety. We interpret such generalized monopoles in terms of twisted spectral data on a companion algebraic vareity. We conjecture that this correspondence is bijective under certain stability condition, and thus gives an algebraic construction of singular monopoles.

Included in

Mathematics Commons

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