SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II
Differential Geometry
2023-09-29 v2
Abstract
By some SL(2, Z) modular forms introduced in [4] and [9], we construct some {\Gamma}^0(2) and {\Gamma}_0(2) modular forms and obtain some new cancellation formulas for spin manifolds and spin^c manifolds respectively. As corollaries, we get some divisibility results of index of twisted Dirac operators on spin manifolds and spin^c manifolds .
Keywords
Cite
@article{arxiv.2309.11833,
title = {SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II},
author = {Jianyun Guan and Yong Wang},
journal= {arXiv preprint arXiv:2309.11833},
year = {2023}
}