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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
SL(2,Z) modular forms and Witten genus in odd dimensions
Jianyun Guan, Yong Wang, Haiming Liu
By some SL(2, Z) modular forms introduced in [4] and [10], we construct some modular forms over SL2(Z) and some modular forms over Γ^0(2) and Γ_0(2) in odd dimensions. In parallel,…