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_*MO〈8〉 and π_*MU〈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

Primary: 55N22

Secondary: 55R45, 57R90

References

Publication

Received: 15 August 2008
Revised: 24 November 2008
Accepted: 24 November 2008
Published: 20 December 2008

Authors