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Formulas for Brown-Peterson Operations

Published online by Cambridge University Press:  20 November 2018

Zaiqing Li
Zaiqing Li*
Affiliation:
The University of Western Ontario, London, Ontario
*
Current address: Department of Mathematics The University of British Columbia Vancouver, British Columbia V6T1Z2 e-mail: [email protected]
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Abstract

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We introduce a new method to calculate compositions of Brown-Peterson operations. We derive a formula for rn1 and a formula for commutators.

Keywords

55S2055N9955P4255T20Composition of Brown-Peterson operationsQuillen theoremZahler method
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 4 , 01 August 1994 , pp. 772 - 792
Copyright
Copyright © Canadian Mathematical Society 1994

Footnotes

The author is currently an Izaak Walton Killam Memorial Post-Doctoral Fellow.

References

1. Adams, J. F., Stable Homotopy and Generalized Homology, The University of Chicago 30, 1979, 455–467.Google Scholar
2. Kane, R. M., Brown-Peterson Homology and Generalized Homology, Quart. J. Math 30(1979),455–467.Google Scholar
3. Li, Z., Product Formulas for Steenrod Operations, Proc. Edinburgh Math. Soc, to appear.Google Scholar
4. J.Milnor, , The Steenrod Algebra and Its Dual, Ann. of Math. 67(1958), 150–171.Google Scholar
5. Quillen, D., On the Formal Group Laws of Unoriented and Complex Cobordism Theory, Bull. Amer. Math. Soc. 75(1969), 1293–1298.Google Scholar
6. Wilson, W. S., Brown-Peterson Homology, An Introduction and Sampler, CBMS Regional Conference Series in Math. 48, Amer. Math. Soc, 1982.Google Scholar
7. Zahler, R., The Adams-Novikov Spectral Sequence for the Spheres, Ann. of Math. 96( 1972), 480–504.Google Scholar