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

Laures, Gerd; Schuster, Björn

doi:10.1090/proc/14190

Towards a splitting of the $K(2)$-local string bordism spectrum
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Proc. Amer. Math. Soc. 147 (2019), 399-410 Request permission

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 $\Omega SU(4)$.

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