Chern-Weil theory for certain infinite-dimensional Lie groups
Differential Geometry
2013-06-19 v1
Abstract
Chern-Weil and Chern-Simons theory extend to certain infinite-rank bundles that appear in mathematical physics. We discuss what is known of the invariant theory of the corresponding infinite-dimensional Lie groups. We use these techniques to detect cohomology classes for spaces of maps between manifolds and for diffeomorphism groups of manifolds.
Cite
@article{arxiv.1306.4204,
title = {Chern-Weil theory for certain infinite-dimensional Lie groups},
author = {Steven Rosenberg},
journal= {arXiv preprint arXiv:1306.4204},
year = {2013}
}
Comments
To appear in the proceedings of the 2012 conference Lie Groups: Structure, Actions and Representations in honor of the 75th birthday of Joe Wolf