Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

Qingtao Chen; Fei Han

Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

Differential Geometry 2007-05-23 v2 Algebraic Topology

Authors: Qingtao Chen , Fei Han

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

Cite

@article{arxiv.math/0605415,
  title  = {Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers},
  author = {Qingtao Chen and Fei Han},
  journal= {arXiv preprint arXiv:math/0605415},
  year   = {2007}
}

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30 pages, new contents added

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