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arXiv · 1309.2671

Mathieu Moonshine and the Geometry of K3 Surfaces

Thomas Creutzig·Gerald Hoehn
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Abstract

We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the Mathieu group M_24 and the complex elliptic genus of a K3 surface with the symmetries of geometric structures on K3 surfaces. Two main results are that the complex elliptic genus of a K3 surface is a virtual module for the Mathieu group M_24 and also for a certain vertex operator superalgebra V^G where G is the holonomy group.

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Thomas Creutzig, Gerald Hoehn. 2013-09-10. Mathieu Moonshine and the Geometry of K3 Surfaces. https://arxiv.org/abs/1309.2671

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