3 citations · 3 across the 8 of their papers we have counts for
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Several new two-variable elliptic genera
Yong Wang
In this paper, we define several new two-variable elliptic genera for even dimensional spin manifolds which are the index for some Dirac operators and holomorphic , $Γ_0(2…
E8 bundles and some new anomaly cancellation formulas
Yong Wang
Using bundles, we construct some new modular forms over , and and get some new anomaly cancellation formulas of characteristic forms which ge…
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 for almost complex manifolds
Yong Wang
In this paper, we define a generalized elliptic genus of an almost complex manifold with an extra complex bundle which generalize the elliptic genus in [10]. This generalized ellip…
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…