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math.AT2024
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…
math.OA2024
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…