Cohomology of Jacobi forms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866914096694165504 |
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| author | Zuevsky, A. |
| author_facet | Zuevsky, A. |
| contents | We define and compute a cohomology of the space of Jacobi forms
based on precise analogues of Zhu reduction formulas. A counterpart of the Bott-Segal theorem for the reduction cohomology of Jacobi forms on the torus is proven. It is shown that the reduction cohomology for Jacobi forms is given by the cohomology of $n$-point connections over a deformed vertex operator algebra bundle defined on the torus. The reduction cohomology for Jacobi forms for a vertex operator algebra is determined in terms of the space of analytical continuations of solutions to Knizhnik-Zamolodchikov equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_07773 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cohomology of Jacobi forms Zuevsky, A. Number Theory Functional Analysis We define and compute a cohomology of the space of Jacobi forms based on precise analogues of Zhu reduction formulas. A counterpart of the Bott-Segal theorem for the reduction cohomology of Jacobi forms on the torus is proven. It is shown that the reduction cohomology for Jacobi forms is given by the cohomology of $n$-point connections over a deformed vertex operator algebra bundle defined on the torus. The reduction cohomology for Jacobi forms for a vertex operator algebra is determined in terms of the space of analytical continuations of solutions to Knizhnik-Zamolodchikov equations. |
| title | Cohomology of Jacobi forms |
| topic | Number Theory Functional Analysis |
| url | https://arxiv.org/abs/2106.07773 |