English

Towards a splitting of the $K(2)$-local string bordism spectrum

Algebraic Topology 2018-03-19 v2

Abstract

We show that K(2)K(2)-locally, the smash product of the string bordism spectrum and the spectrum T2T_2 splits into copies of Morava EE-theories. Here, T2T_2 is related to the Thom spectrum of the canonical bundle over ΩSU(4)\Omega SU(4).

Keywords

Cite

@article{arxiv.1710.03427,
  title  = {Towards a splitting of the $K(2)$-local string bordism spectrum},
  author = {Gerd Laures and Björn Schuster},
  journal= {arXiv preprint arXiv:1710.03427},
  year   = {2018}
}

Comments

Revised version with more details