On the formal groups approach to cobordism
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- by Sandro Buoncristiano and Derek Hacon PDF
- Proc. Amer. Math. Soc. 97 (1986), 559-564 Request permission
Abstract:
We give a direct proof of the fact that the complex bordism ring ${U_ * }$ is a polynomial ring, based on Quillen’s approach. The proof is self-contained, apart from the assumption that the groups ${U_n}$ are all finitely generated and an algebraic lemma on formal groups.References
- Max Karoubi, Cobordisme et groupes formels (d’après D. Quillen et T. tom Dieck), Séminaire Bourbaki, 24ème année (1971/1972), Exp. No. 408, Lecture Notes in Math., Vol. 317, Springer, Berlin, 1973, pp. 141–165 (French). MR 0413142
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554
- Daniel Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971), 29–56 (1971). MR 290382, DOI 10.1016/0001-8708(71)90041-7
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 559-564
- MSC: Primary 55N22
- DOI: https://doi.org/10.1090/S0002-9939-1986-0840646-2
- MathSciNet review: 840646