Computations of topological Jacobi forms
Abstract
We compute, at the prime $2$, the entire descent spectral sequence converging to the homotopy groups of the spectra of topological Jacobi forms $\mathrm{TJF}_m$ for every index $m \geq 1$. An explicit $\mathrm{TMF}$-cellular decomposition $\mathrm{TJF}_m \simeq \mathrm{TMF} \otimes P_m$ reduces the problem to analyzing a finite complex $P_m$ with one even cell in each dimension $\leq 2m$ except $2$. We identify all differentials using the cell structure.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 February 2026
- Language
- EN
- Document type
- Preprint