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arXiv · 1505.00298

Modular invariance and anomaly cancellation formulas in odd dimension

Kefeng Liu·Yong Wang
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Abstract

By studying modular invariance properties of some characteristic forms, we get some new anomaly cancellation formulas on $(4r-1)$ dimensional manifolds. As an application, we derive some results on divisibilities of the index of Toeplitz operators on $(4r-1)$ dimensional spin manifolds and some congruent formulas on characteristic number for $(4r-1)$ dimensional spin$^c$ manifolds.

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Kefeng Liu, Yong Wang. 2015-05-02. Modular invariance and anomaly cancellation formulas in odd dimension. https://doi.org/10.1016/j.geomphys.2015.10.006

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