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arXiv · 2508.08010

Topological Jacobi Forms

Tilman Bauer·Lennart Meier
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Abstract

As a generalization of the ring spectrum of topological modular forms, we construct a graded ring spectrum of topological Jacobi forms, $\operatorname{TJF}_*$. This is constructed as the global sections of a sheaf of $E_\infty$-ring spectra on the stacky universal elliptic curve using circle-equivariant $\operatorname{TMF}$. Complete calculations of its homotopy at odd primes and partial results at $p=2$ are given.

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Tilman Bauer, Lennart Meier. 2025-08-11. Topological Jacobi Forms. https://arxiv.org/abs/2508.08010

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