Date of Award
Doctor of Philosophy (PhD)
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.
Li, Tong, "Twisted Spectral Data and Singular Monopoles" (2015). Publicly Accessible Penn Dissertations. 1089.