4.0 Article

Notes on the K3 Surface and the Mathieu Group M-24

Journal

EXPERIMENTAL MATHEMATICS
Volume 20, Issue 1, Pages 91-96

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/10586458.2011.544585

Keywords

K3 surface; elliptic genus; Mathieu groups

Categories

Funding

  1. Japan Ministry of Education, Culture, Sports, Science, and Technology (MEXT)
  2. U.S. Department of Energy [DE-FG03-92-ER40701]
  3. World Premier International Research Center Initiative
  4. MEXT [20540256]
  5. Humboldt Research Award
  6. NSF [PHY-0503584]
  7. Institute for Advanced Study

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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.

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