# The Monster, the Baby Monster and Traces of Singular Moduli

**Authors:** Victor Godet

arXiv: 1705.05361 · 2017-05-16

## TL;DR

This paper presents new connections between the Monster, Baby Monster, and singular moduli through weakly holomorphic modular forms, expanding the landscape of moonshine phenomena in mathematics.

## Contribution

It introduces novel (super) moonshine relations linking the Monster and Baby Monster groups to Zagier's modular forms, inspired by recent Thompson moonshine discoveries.

## Key findings

- Evidence for new moonshine relations
- Connections to Zagier's traces of singular moduli
- Extensions of moonshine phenomena

## Abstract

In this note, we provide evidence for new (super) moonshines relating the Monster and the Baby monster to some weakly holomorphic weight 1/2 modular forms defined by Zagier in his work on traces of singular moduli. They are similar in spirit to the recently discovered Thompson moonshine.

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1705.05361/full.md

## References

26 references — full list in the complete paper: https://tomesphere.com/paper/1705.05361/full.md

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Source: https://tomesphere.com/paper/1705.05361