On the geometry of nilpotent orbits
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper we obtain various results about the geometry of nilpotent orbits. In particular, we obtain a better understanding of the Kostant-Sekiguchi correspondence and Kronheimer's instanton flow. We utilize the moment map of Ness and the SL(2)-orbit theorem from Hodge theory. The results of this paper are used in the proof of the Barbarsch-Vogan conjecture in math.RT/0005305 (Ann. of Math. (2) 151 (2000), no. 3, 1071-1118).
Cite
@article{arxiv.math/0410033,
title = {On the geometry of nilpotent orbits},
author = {Wilfried Schmid and Kari Vilonen},
journal= {arXiv preprint arXiv:math/0410033},
year = {2007}
}