Stratifications of inertia spaces of compact Lie group actions
Differential Geometry
2015-04-21 v2 Algebraic Topology
Abstract
We study the topology of the inertia space of a smooth -manifold where is a compact Lie group. We construct an explicit Whitney stratification of the inertia space, demonstrating that the inertia space is a triangulable differentiable stratified space. In addition, we demonstrate a de Rham theorem for differential forms defined on the inertia space with respect to this stratification.
Keywords
Cite
@article{arxiv.1207.0595,
title = {Stratifications of inertia spaces of compact Lie group actions},
author = {Carla Farsi and Markus J. Pflaum and Christopher Seaton},
journal= {arXiv preprint arXiv:1207.0595},
year = {2015}
}
Comments
36 pages