Geodesic
Gravitational anomaly cancellation and modular invariance
Han, Fei1 ; Liu, Kefeng2
1Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076, Singapore
2Department of Mathematics, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles, CA 90095, USA
Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 91-113
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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-Gaumé and Witten in dimensions 2, 6 and 10 [Nuclear Phys. B 234(2) (1984) 269–330] 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.

DOI : 10.2140/agt.2014.14.91
Classification : 53C27, 53C80
Keywords: gravitational anomaly cancellation, modular invariance

Han, Fei  1   ; Liu, Kefeng  2

1 Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076, Singapore
2 Department of Mathematics, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles, CA 90095, USA 
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Han, Fei; Liu, Kefeng. Gravitational anomaly cancellation and modular invariance. Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 91-113. doi: 10.2140/agt.2014.14.91

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