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arXiv · 1007.5295

Gravitational Anomaly Cancellation and Modular Invariance

Fei Han·Kefeng Liu
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Abstract

In this paper, by combining modular forms and characteristic forms, we obtain general anomaly cancellation formulas of any dimension. For $4k+2$ dimensional manifolds, our results include the gravitational anomaly cancellation formulas of Alvarez-Gaum\'e and Witten in dimensions 2, 6 and 10 (\cite{AW}) as special cases. In dimension $4k+1$, we derive anomaly cancellation formulas for index gerbes. In dimension $4k+3$, we obtain certain results about eta invariants, which are interesting in spectral geometry.

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Fei Han, Kefeng Liu. 2010-07-29. Gravitational Anomaly Cancellation and Modular Invariance. https://arxiv.org/abs/1007.5295

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