Corpus ID: 119314654

The Cayley Plane and the Witten Genus

@article{McTague2010TheCP,
  title={The Cayley Plane and the Witten Genus},
  author={Carl S. McTague},
  journal={arXiv: Algebraic Topology},
  year={2010}
}
  • Carl S. McTague
  • Published 2010
  • Mathematics
  • arXiv: Algebraic Topology
  • This paper defines a new genus, the Cayley plane genus. By definition it is the universal multiplicative genus for oriented Cayley plane bundles. The main result (Theorem 2) is that it factors (tensor Q) through the product of the Ochanine elliptic genus and the Witten genus---revealing a synergy between these two genera---and that its image is the homogeneous coordinate ring Q[Kum,HP^2,HP^3,CaP^2]/(CaP^3).(HP^3,CaP^2-(HP^2)^2) of the union of the curve of Ochanine elliptic genera and the… CONTINUE READING

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