1996/05/01 by Richard E. Borcherds, Alex Ryba · 6 citations
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics #Mathematics #Modular design #Computer science #Programming language
paper · doi:10.1215/s0012-7094-96-08315-5
openalex publication_date 1996/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
In this paper we complete the proof of Ryba's modular moonshine conjectures. We do this by applying Hodge theory to the cohomology of the monster Lie algebra over the ring of p-adic integers in order to calculate the Tate cohomology groups of elements of the monster acting on the monster vertex algebra.