Topological Jacobi Forms
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916891244625920 |
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| author | Bauer, Tilman Meier, Lennart |
| author_facet | Bauer, Tilman Meier, Lennart |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Jacobi Forms Bauer, Tilman Meier, Lennart Algebraic Topology 55N34, 55N20, 11F50 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. |
| title | Topological Jacobi Forms |
| topic | Algebraic Topology 55N34, 55N20, 11F50 |
| url | https://arxiv.org/abs/2508.08010 |