Modular invariance and anomaly cancellation formulas in odd dimension
arXiv:1505.00298 · doi:10.1016/j.geomphys.2015.10.006
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.
16 pages. arXiv admin note: text overlap with arXiv:1109.5794, arXiv:0812.0201, arXiv:0811.4460; text overlap with arXiv:math/0605366 by other authors