Several new two-variable elliptic genera

2026/07/16 by Yong Wang
#math.DG

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Abstract

In this paper, we define several new two-variable elliptic genera for even dimensional spin manifolds which are the index for some Dirac operators and holomorphic SL(2,Z), Γ₀(2), Γ⁰(2), Γ_θ-Jacobi forms. By these Jacobi forms, we can get some SL(2,\bf Z) and Γ⁰(2) modular forms. By these SL(2,\bf Z) and Γ⁰(2) modular forms, we get some interesting anomaly cancellation formulas for spin manifolds.

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