1.1k citations · 3.3k across the 27 of their papers we have counts for
4 papers · 1 filter
Modular Products and Modules for Finite Groups
John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
Motivated by the appearance of penumbral moonshine, and by evidence that penumbral moonshine enjoys an extensive relationship to generalized monstrous moonshine via infinite produc…
Two New Avatars of Moonshine for the Thompson Group
John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
The Thompson sporadic group admits special relationships to modular forms of two kinds. On the one hand, last century's generalized moonshine for the monster equipped the Thompson…
An Overview of Penumbral Moonshine
John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
As Mathieu moonshine is a special case of umbral moonshine, Thompson moonshine (in half-integral weight) is a special case of a family of similar relationships between finite group…
Umbral Moonshine and the Niemeier Lattices
Miranda C. N. Cheng, John F. R. Duncan, Jeffrey A. Harvey
In this paper we relate umbral moonshine to the Niemeier lattices: the 23 even unimodular positive-definite lattices of rank 24 with non-trivial root systems. To each Niemeier latt…