SL(2,Z) modular forms and Witten genus in odd dimensions
Differential Geometry
2024-01-17 v1 Number Theory
Abstract
By some SL(2, Z) modular forms introduced in [4] and [10], we construct some modular forms over SL2(Z) and some modular forms over {\Gamma}^0(2) and {\Gamma}_0(2) in odd dimensions. In parallel, we obtain some new cancellation formulas for odd dimensional spin manifolds and odd dimensional spin^c manifolds respectively. As corollaries, we get some divisibility results of index of the Toeplitz operators on spin manifolds and spin^c manifolds .
Cite
@article{arxiv.2401.06944,
title = {SL(2,Z) modular forms and Witten genus in odd dimensions},
author = {Jianyun Guan and Yong Wang and Haiming Liu},
journal= {arXiv preprint arXiv:2401.06944},
year = {2024}
}