A proof of the Thompson Moonshine Conjecture

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 $\frac{1}{2}$ satisfying properties conjectured by Harvey and Rayhaun.

36 pages, 8 tables v2 addresses reviewer's comments and corrects a mistake in the proof of Lemma 2.10

References in corpus (3)

• Mock Theta Functions
• Notes on the K3 Surface and the Mathieu group M_24
• Rademacher Sums and Rademacher Series

Cited by in corpus (8)

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• Generalised Umbral Moonshine
• Ramanujan's influence on string theory, black holes and moonshine
• TASI Lectures on Moonshine
• The Monster, the Baby Monster and Traces of Singular Moduli