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Eguchi, Tohru; Ooguri, Hirosi; Tachikawa, Yuji

Notes on the \(K3\) surface and the Mathieu group \(M_{24}\). (English) Zbl 1266.58008

Exp. Math. 20, No. 1, 91-96 (2011).
Summary: We point out that the elliptic genus of the \(K3\) surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group \(M_{24}\). The reason remains a mystery.

Cited in 12 Reviews
Cited in 136 Documents

MSC:

58J26 Elliptic genera
11F23 Relations with algebraic geometry and topology
14J28 \(K3\) surfaces and Enriques surfaces
20D08 Simple groups: sporadic groups

Keywords:

\(K3\) surface; elliptic genus; Mathieu groups
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Full Text: DOI arXiv Euclid

Online Encyclopedia of Integer Sequences:

1A coefficients in an expansion of the elliptic genus of the K3 surface.

References:

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