Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T10:34:42.506Z Has data issue: false hasContentIssue false

Formulas for Brown-Peterson Operations

Published online by Cambridge University Press:  20 November 2018

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: zli@math.ubc.ca
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
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, 455467.Google Scholar
2. Kane, R. M., Brown-Peterson Homology and Generalized Homology, Quart. J. Math 30(1979),455467.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), 150171.Google Scholar
5. Quillen, D., On the Formal Group Laws of Unoriented and Complex Cobordism Theory, Bull. Amer. Math. Soc. 75(1969), 12931298.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), 480504.Google Scholar