On the Restriction Map for Jacobi Forms
B. Ramakrishnan, Karam Deo Shankhadhar

TL;DR
This paper characterizes the kernel of the restriction map for Jacobi forms of index 2 and proves injectivity of specific differential operators, extending results to certain subspaces with square-free index.
Contribution
It provides a detailed description of the restriction map kernel for Jacobi forms of index 2 and generalizes these results to subspaces with square-free index m.
Findings
Kernel of the restriction map for Jacobi forms of index 2 described.
Injectivity of D_0 ⊕ D_2 on weight 2, index 2 Jacobi forms established.
Results extended to subspaces with square-free index m.
Abstract
In this article we give the description of the kernel of the restriction map for Jacobi forms of index 2 and obtain the injectivity of on the space of Jacobi forms of weight 2 and index 2. We also obtain certain generalization of these results on certain subspace of Jacobi forms of square-free index .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
