Twisted Spectral Data and Singular Monopoles

Loading...
Thumbnail Image
Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Subject
Dirac singularity
Fourier-Mukai transform
gerbe
Kobayashi-Hitchin correspondence
monopole
twisted spectral data
Mathematics
Funder
Grant number
License
Copyright date
2015-07-20T00:00:00-07:00
Distributor
Related resources
Author
Contributor
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.

Advisor
Tony Pantev
Date of degree
2015-01-01
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Recommended citation