Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

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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
30 pages, new contents added

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Differential Geometry, Algebraic Topology, Primary 53C20, 57R20; Secondary 53C80, 11Z05

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http://salesiana.dossiersoluciones.com/handle/123456789/112805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605415
 http://arxiv.org/abs/math/0605415

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arXiv