3 citations · 3 across the 4 of their papers we have counts for
4 papers
Several new Witten rigidity theorems for spin manifolds
Jianyun Guan, Kefeng Liu, Yong Wang
Using Liu's modular invariance method and its odd-dimensional extension by Han and Yu, we establish new Witten rigidity theorems for the generalized Witten genus of twisted Dirac o…
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…
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…
Modular invariance and anomaly cancellation formulas in odd dimension
Kefeng Liu, Yong Wang
By studying modular invariance properties of some characteristic forms, we get some new anomaly cancellation formulas on dimensional manifolds. As an application, we deriv…