The homotopy of MString and MU⟨6⟩ at large primes

Hovey, Mark

doi:10.2140/agt.2008.8.2401

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The homotopy of $\mathit{MString}$ and $\mathit{MU}\langle 6\rangle$ at large primes

Mark Hovey

Algebraic & Geometric Topology 8 (2008) 2401–2414

DOI: 10.2140/agt.2008.8.2401

Abstract

We use Hopf rings to compute the homotopy rings $π_{*} M O 〈 8 〉$ and $π_{*} M U 〈 6 〉$ at primes $> 3$ . In this case, the additive structure is well-known, but the ring structure is not polynomial. Instead, these rings are quotients of polynomial rings by infinite regular sequences.

Keywords

bordism, cobordism, String manifold, String bordism, Hopf ring

Mathematical Subject Classification 2000

Primary: 55N22

Secondary: 57R90, 55R45

References

Publication

Received: 15 August 2008

Revised: 24 November 2008

Accepted: 24 November 2008

Published: 20 December 2008

Authors

Mark Hovey
Department of Mathematics and Computer Science Wesleyan University Middletown, CT 06459 USA

Volume 8, issue 4 (2008)