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Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence

Published online by Cambridge University Press:  19 January 2011

Hans-Joachim Baues  and
Mamuka Jibladze
Hans-Joachim Baues
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany, baues@mpim-bonn.mpg.de
Mamuka Jibladze
Affiliation:
Razmadze Mathematical Institute, Alexidze st. 1, Tbilisi 0193, Georgia and Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany, jib@rmi.acnet.ge
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Abstract

We describe the dualization of the algebra of secondary cohomology operations in terms of generators extending the Milnor dual of the Steenrod algebra. In this way we obtain explicit formulæ for the computation of the E3-term of the Adams spectral sequence converging to the stable homotopy groups of spheres.

Keywords

Adams spectral sequencesecondary cohomology operation2-categorySteenrod algebradualization of Hopf algebra
Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 2 , April 2011 , pp. 203 - 347
Copyright
Copyright © ISOPP 2010

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