Stratified hyperkahler spaces from semisimple Lie algebras
Differential Geometry
2019-08-01 v2 Symplectic Geometry
Abstract
We study singular hyperkahler quotients of the cotangent bundle of a complex semisimple Lie group as stratified spaces whose strata are hyperkahler. We focus on one particular case where the stratification satisfies the frontier condition and the partial order on the set of strata can be described explicitly by Lie theoretic data.
Keywords
Cite
@article{arxiv.1709.09126,
title = {Stratified hyperkahler spaces from semisimple Lie algebras},
author = {Maxence Mayrand},
journal= {arXiv preprint arXiv:1709.09126},
year = {2019}
}
Comments
23 pages. v2: Section 4.2 was amended to fix an issue about properness of the K\"ahler potential. The one used in v1 was in fact not proper, but we replaced it in v2 by one which is proper (inducing the same K\"ahler structure), and the proof only requires minor changes in Lemma 4.5 (the issue was that M=0). Proposition 4.6 stays true, and no other section is affected