INERTIA SPACES OF PROPER LIE GROUP ACTIONS AND THEIR TOPOLOGICAL PROPERTIES

作者: Markus J. Pflaum , Christopher Seaton , Carla Farsi

DOI:

关键词:

摘要: We study the topology of inertia space a smooth G-manifold M where G is compact Lie group. construct an explicit Whitney strat- ification space, demonstrating that trian- gulable differentiable stratified space. In addition, we demonstrate de Rham theorem for differential forms defined on with respect to this stratification.

参考文章(19)
Takao Matumoto, Masahiro Shiota, Proper subanalytic transformation groups and unique triangulation of the orbit spaces Lecture Notes in Mathematics. pp. 290- 302 ,(1986) , 10.1007/BFB0072829
Jonathan Block, Ezra Getzler, Equivariant cyclic homology and equivariant differential forms Annales scientifiques de l'École normale supérieure. ,vol. 27, pp. 493- 527 ,(1994) , 10.24033/ASENS.1699
Tetsuro Kawasaki, The index of elliptic operators over V-manifolds Nagoya Mathematical Journal. ,vol. 84, pp. 135- 157 ,(1981) , 10.1017/S0027763000019589
Manfred Knebusch, Hans Delfs, Locally semialgebraic spaces ,(1985)
Markus J. Pflaum, Analytic and geometric study of stratified spaces Springer. ,(2001)
CARLA FARSI, K-THEORETICAL INDEX THEOREMS FOR ORBIFOLDS Quarterly Journal of Mathematics. ,vol. 43, pp. 183- 200 ,(1992) , 10.1093/QMATH/43.2.183
Carla Farsi, An orbifold relative index theorem Journal of Geometry and Physics. ,vol. 57, pp. 1653- 1668 ,(2007) , 10.1016/J.GEOMPHYS.2007.02.001
M.J. Pflaum, H.B. Posthuma, X. Tang, An algebraic index theorem for orbifolds Advances in Mathematics. ,vol. 210, pp. 83- 121 ,(2007) , 10.1016/J.AIM.2006.05.018