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Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

Qingtao Chen·Fei Han
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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 spin$^c$ manifolds. Especially, we get twisted Rokhlin congruences for $8k+4$ dimensional spin$^c$ manifolds

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Qingtao Chen, Fei Han. 2006-07-05. Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers. https://arxiv.org/abs/math/0605415

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