SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II

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 manifolds respectively. As corollaries, we get some divisibility results of index of twisted Dirac operators on spin manifolds and spin^c manifolds .