# Cohomology of Jacobi forms

@inproceedings{Zuevsky2021CohomologyOJ, title={Cohomology of Jacobi forms}, author={A. Zuevsky}, year={2021} }

We define and compute a cohomology of the space of Jacobi forms based on precise analogues of Zhu reduction formulas derived in [Zhu, BKT, MTZ]. 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 algebra bundle defined on the torus. The reduction cohomology for Jacobi forms for a vertex algebra is determined… Expand

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