Modular Forms and Generalized Anomaly Cancellation Formulas
  In this paper, we generalize the anomaly cancellation formulas in \cite{AW, Liu1, HZ2} to the cases that an auxiliary bundle $W$ as well as a complex line bundle $\xi$ are involved with no conditions on the first Pontryagin forms being assumed. 
Fei Han, Kefeng Liu and Weiping Zhang
math.DG math-ph math.MP