On the converse to a theorem of Atiyah and Bott
Algebraic Geometry
2007-05-23 v1
Abstract
Let G be a complex reductive group and let C be a smooth curve of genus at least one. We prove a converse to a theorem of Atiyah-Bott concerning the stratification of the space of holomorphic G-bundles on C. In case the genus of C is one, we establish that one has a stratification in the strong sense. The paper concludes with a characterization of the minimally unstable strata in case G is simple.
Keywords
Cite
@article{arxiv.math/0006086,
title = {On the converse to a theorem of Atiyah and Bott},
author = {Robert Friedman and John W. Morgan},
journal= {arXiv preprint arXiv:math/0006086},
year = {2007}
}
Comments
Latex file, 34 pages, 5 figures