Tony PantevLi, Tong2023-05-222001-01-012015-07-202015-01-012015-07-20https://repository.upenn.edu/handle/20.500.14332/27864We 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.40 p.application/pdfTong LiDirac singularityFourier-Mukai transformgerbeKobayashi-Hitchin correspondencemonopoletwisted spectral dataMathematicsDissertation/Thesis