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arXiv · 2607.15371

Several new two-variable elliptic genera

Yong Wang
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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 $SL(2,Z)$, $\Gamma_0(2)$, $\Gamma^0(2)$, $\Gamma _{\theta}$-Jacobi forms. By these Jacobi forms, we can get some $SL(2,{\bf Z})$ and $\Gamma^0(2)$ modular forms. By these $SL(2,{\bf Z})$ and $\Gamma^0(2)$ modular forms, we get some interesting anomaly cancellation formulas for spin manifolds.

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Yong Wang. 2026-07-16. Several new two-variable elliptic genera. https://arxiv.org/abs/2607.15371

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