Homology stability for symplectic groups
K-Theory and Homology
2012-01-06 v2
Abstract
In this paper the homology stability for symplectic groups over a ring with finite stable rank is established. First we develop a `nerve theorem' on the homotopy type of a poset in terms of a cover by subposets, where the cover is itself indexed by a poset. We use the nerve theorem to show that a poset of sequences of isotropic vectors is highly connected, as conjectured by Charney in the eighties.
Cite
@article{arxiv.math/0110163,
title = {Homology stability for symplectic groups},
author = {B. Mirzaii and W. van der Kallen},
journal= {arXiv preprint arXiv:math/0110163},
year = {2012}
}
Comments
21 pages, LaTeX. Contents have been merged with arXiv:math/0111117 in final publication