Journal of Singularities
volume 13 (2015), 107-140
Received 24 October 2013. Received in revised form 8 April 2014.
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 differential forms defined on the inertia space with respect to this stratification.
Lie group, G-manifold, stratified space, differentiable space, inertia space
Mathematical Subject Classification:
57S15, 58A35; Secondary 22C05, 32S60, 57R18
|Carla Farsi||Markus J. Pflaum||Christopher Seaton|
|Department of Mathematics||Department of Mathematics||Dept. of Mathematics & Computer Science|
|University of Colorado at Boulder||University of Colorado at Boulder||Rhodes College|
|Campus Box 395||Campus Box 395||2000 N. Parkway|
|Boulder, CO 80309-0395||Boulder, CO 80309-0395||Memphis, TN 38112|
|email: firstname.lastname@example.org||email: pflaum@Colorado.EDU||email: email@example.com|