Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255610 | Journal of Geometry and Physics | 2018 | 13 Pages |
Abstract
In this paper we investigate the moduli space of parabolic Higgs bundles over a punctured Riemann surface with varying weights at the punctures. We show that the harmonic metric depends analytically on the weights and the stable Higgs bundle. This gives a Higgs bundle generalisation of a theorem of McOwen on the existence of hyperbolic cone metrics on a punctured surface within a given conformal class, and a generalisation of a theorem of Judge on the analytic parametrisation of these metrics.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Semin Kim, Graeme Wilkin,