4 papers
Equivariant Localization of -homological Euler Class for almost connected Lie Groups
Hongzhi Liu, Hang Wang, Zijing Wang +1
Using the Witten deformation and localization algebra techniques, we compute the -equivariant -homology class of the de Rham operator on a proper cocompact -spin manifold,…
Equivariant Poincaré-Hopf theorem
Hongzhi Liu, Hang Wang, Zijing Wang +1
In this paper, we employ the framework of localization algebras to compute the equivariant K-homology class of the Euler characteristic operator, a central object in studying equiv…
Equivariant Index Theorem on in the Context of Continuous Fields of -algebras
Baiying Ren, Hang Wang, Zijing Wang
We prove an equivariant index theorem on the Euclidean space using a continuous field of -algebras. This generalizes the work of Elliott, Natsume and Nest, which is a special…
Index theorem for homogenous spaces of Lie groups
Hang Wang, Zijing Wang
We study index theory on homogeneous spaces associated to an almost connected Lie group in terms of the topological aspect and the analytic aspect. On the topological aspect, we ob…