The Cayley plane and String bordism

Details The Cayley plane and String bordism The Cayley plane and String bordism

2011-11-19

arxiv.org/abs/1111.4520v1

Mathematics

Algebraic Topology

24 pages

Scientific paper

This paper shows that the kernel of the Witten genus tensor Z[1/6] is generated by total spaces of Cayley plane bundles, but only after restricting the Witten genus to string bordism. It does so by showing that the divisibility properties of Cayley plane bundle characteristic numbers arising in Borel-Hirzebruch Lie-group-theoretic calculations correspond precisely to the divisibility properties arising in the Hovey-Ravenel-Wilson BP-Hopf-ring-theoretic calculation of string bordism at primes >3.

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