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arXiv · 2309.11833

SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II

Jianyun Guan·Yong Wang
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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 .

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Jianyun Guan, Yong Wang. 2023-09-21. SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II. https://arxiv.org/abs/2309.11833

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