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Xiaowen Dong
An unstable motivic null-Hopf relation
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| Published: |
January 12, 2026. |
| Keywords: |
unstable motivic homotopy theory, Toda brackets. |
| Subject [2010]: |
14F42,55Q40. |
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Abstract
We prove the unstable analogue of the relation η h=h η=0 in stable motivic homotopy theory, where η is the first motivic Hopf map and h the hyperbolic plane. Using these relations we construct some non-trivial examples of Toda brackets in unstable motivic homotopy theory.
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| Acknowledgements
I would like to thank my doctoral advisor Oliver Rondigs for his support and guidance.
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| Author information
Xiaowen Dong
University of Osnabruck
Neuer Graben 29
49074 Osnabruck, Germany
xiaowen.dong@uni-osnabrueck.de
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