2011/11/30 by Carl McTague · 1 citation
Mathematics · Physics and Astronomy · #math.AT #math-ph #math.AG #math.DG #math.MP #msc:58J26
paper · pdf · doi:10.2140/gt.2014.18.2045
published as Geom. Topol. 18 (2014) 2045-2078 · 27 pages, significantly improved exposition following suggestions by Haynes Miller
arxiv created 2014/01/30 · arxiv updated 2014/11/11
This paper shows that, away from 6, the kernel of the Witten genus is precisely the ideal consisting of (bordism classes of) Cayley plane bundles with connected structure group, 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.