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Chiral and non-chiral $p$-form gauge fields have gravitational anomalies and anomalies of Green-Schwarz type.
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K. F. Liu, Modular Invariance and Characteristic Numbers,
1995
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1996
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1996
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1996
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1996
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1997
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2014
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2015
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2015
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2015
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S. Monnier, The Global Anomaly of the Self-Dual Field in General Backgrounds,
2016
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2016
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2016
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2016
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2017
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2017
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World Scientific, 2018
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2019
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2019
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2019
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2019
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2019
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American Mathematical Society, Providence, RI, 2019
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R. Thorngren, Anomalies and Bosonization,
2020
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Y. Tachikawa, On Gauging Finite Subgroups,
2020
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2021
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