Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers
Qingtao Chen, Fei Han
Abstract
By studying modular invariance properties of some characteristic forms, we obtain twisted anomaly cancellation formulas. We apply these twisted cancellation formulas to study divisibilities on spin manifolds and congruences on spinc manifolds. Especially, we get twisted Rokhlin congruences for 8k+4 dimensional spinc manifolds
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