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Daniel Dugger and Daniel C. Isaksen
Motivic Hopf elements and relations view print
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| Published: |
November 21, 2013 |
| Keywords: |
Motivic stable homotopy group, Hopf map |
| Subject: |
14F42, 55Q45 |
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Abstract
We use Cayley-Dickson algebras to produce Hopf elements η, ν,
and σ
in the motivic stable homotopy groups of spheres, and we prove the
relations ην=0 and νσ=0 by geometric arguments. Along
the way we develop several basic facts about the motivic stable
homotopy ring.
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| Acknowledgements
The first author was supported by NSF grant DMS-0905888. The second author was supported by NSF grant DMS-1202213.
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| Author information
Daniel Dugger:
Department of Mathematics, University of Oregon, Eugene, OR 97403
ddugger@math.uoregon.edu
Daniel C. Isaksen:
Department of Mathematics, Wayne State University, Detroit, MI 48202
isaksen@math.wayne.edu
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