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math.DG2024
Several new Witten rigidity theorems for elliptic genus
Jianyun Guan, Kefeng Liu, Yong Wang
Using the Liu's method, we prove a new Witten rigidity theorem of elliptic genus of twisted Dirac operators in even dimensional spin manifolds under the circle action. Combined wit…
math.DG2024
The noncommutative residue and sub-Riemannian limits for the twisted BCV spaces
Hongfeng Li, Kefeng Liu, Yong Wang
In this paper, we derive the sub-Riemannian version of the Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem for the twisted BCV spaces. We also comput…