• Corpus ID: 117030188

Sporadic and Exceptional

  title={Sporadic and Exceptional},
  author={Yang-Hui He and John McKay},
  journal={arXiv: Algebraic Geometry},
We study the web of correspondences linking the exceptional Lie algebras $E_{8,7,6}$ and the sporadic simple groups Monster, Baby and the largest Fischer group. This is done via the investigation of classical enumerative problems on del Pezzo surfaces in relation to the cusps of certain subgroups of $PSL(2,R)$ for the relevant McKay-Thompson series in Generalized Moonshine. We also study Conway's sporadic group, as well as its association with the Horrocks-Mumford bundle. 

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