A gauge theoretic aspects of parabolic bundles over Klein surfaces
Abstract
In this article, we study the gauge theoretic aspects of real and quaternionic parabolic bundles over a real curve $(X, \sigma_X)$, where X is a compact Riemann surface and {\sigma}X is an antiholomorphic involution. For a fixed real or quaternionic structure on a smooth parabolic bundle, we examine the orbits space of real or quaternionic connection under the appropriate gauge group. The corresponding gaugetheoretic quotients sit inside the real points of the moduli of holomorphic parabolic bundles having a fixed parabolic type on a compact Riemann surface $X$.
 Publication:

arXiv eprints
 Pub Date:
 February 2022
 arXiv:
 arXiv:2202.06210
 Bibcode:
 2022arXiv220206210A
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry;
 14H60;
 53C07;
 30F50
 EPrint:
 Comments are welcome