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

Abstract

We show that $K(2)$-locally, the smash product of the string bordism spectrum and the spectrum $T_2$ splits into copies of Morava $E$-theories. Here, $T_2$ is related to the Thom spectrum of the canonical bundle over $\Omega SU(4)$.

arXiv commentRevised version with more details