Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles
Differential Geometry
2016-03-02 v1
Abstract
In this paper we provide two ways of constructing complex coordinates on the moduli space of pairs of a Riemann surface and a stable holomorphic vector bundle centred around any such pair. We compute the transformation between the coordinates to second order at the center of the coordinates. We conclude that they agree to second order, but not to third order at the center.
Cite
@article{arxiv.1603.00294,
title = {Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles},
author = {Jørgen Ellegaard Andersen and Niccolo Skovgård Poulsen},
journal= {arXiv preprint arXiv:1603.00294},
year = {2016}
}
Comments
28 pages