String bordism and chromatic characteristics
Abstract
We introduce characteristics into chromatic homotopy theory. This parallels the prime characteristics in number theory as well as in our earlier work on structured ring spectra and unoriented bordism theory. Here, the K(n)local HopkinsMiller classes $\zeta_n$ take the places of the prime numbers, and this allows us to discuss higher bordism theories. We prove that the K(2)localizations of the spectrum of topological modular forms as well as the string bordism spectrum have characteristic $\zeta_2$.
 Publication:

arXiv eprints
 Pub Date:
 December 2013
 arXiv:
 arXiv:1312.4658
 Bibcode:
 2013arXiv1312.4658S
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Geometric Topology
 EPrint:
 18 pages