Stratifications of Inertia Spaces of Compact Lie Group Actions
Stratifications of Inertia Spaces of Compact Lie Group Actions
We study the topology of the inertia space of a smooth $G$-manifold $M$ where $G$ 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 …