Modular invariance and anomaly cancellation formulas in odd dimension
Differential Geometry
2015-12-09 v1 Mathematical Physics
math.MP
Abstract
By studying modular invariance properties of some characteristic forms, we get some new anomaly cancellation formulas on dimensional manifolds. As an application, we derive some results on divisibilities of the index of Toeplitz operators on dimensional spin manifolds and some congruent formulas on characteristic number for dimensional spin manifolds.
Cite
@article{arxiv.1505.00298,
title = {Modular invariance and anomaly cancellation formulas in odd dimension},
author = {Kefeng Liu and Yong Wang},
journal= {arXiv preprint arXiv:1505.00298},
year = {2015}
}
Comments
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