A proof of the Thompson Moonshine Conjecture

Michael J. Griffin; Michael H. Mertens

doi:10.1186/s40687-016-0084-7

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arXiv · 1607.03078

A proof of the Thompson Moonshine Conjecture

Michael J. Griffin·Michael H. Mertens

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Abstract

In this paper we prove the existence of an infinite dimensional graded super-module for the finite sporadic Thompson group $Th$ whose McKay-Thompson series are weakly holomorphic modular forms of weight $\frac 12$ satisfying properties conjectured by Harvey and Rayhaun.

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Michael J. Griffin, Michael H. Mertens. 2016-08-29. A proof of the Thompson Moonshine Conjecture. https://doi.org/10.1186/s40687-016-0084-7

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