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

2023/09/21 by Guan, Jianyun, Wang, Yong · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2309.11833

Abstract

By some SL(2, Z) modular forms introduced in [4] and [9], we construct some Γ⁰(2) and Γ₀(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 .

Cited by

• Several new Witten rigidity theorems for spin^c manifolds

Related

• SL(2,Z) modular forms and anomaly cancellation formulas
• SL(2,Z) modular forms and Witten genus in odd dimensions
• Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers
• Several new two-variable elliptic genera
• Anomaly cancellation formulas and E8 bundles