5 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…
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,…
SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II
Jianyun Guan, Yong Wang
By some SL(2, Z) modular forms introduced in [4] and [9], we construct some Γ^0(2) and Γ_0(2) modular forms and obtain some new cancellation formulas for spin manifolds and spin^c…
SL(2,Z) modular forms and anomaly cancellation formulas
Yong Wang, Jianyun Guan
By some SL(2, Z) modular forms introduced in [11] and [4] , we get some interesting anomaly cancellation formulas. As corollaries, we get some divisibility results of index of twis…