NYJM Logo

New York Journal of Mathematics
Volume 32 (2026), 155-196

  

Xiaowen Dong

An unstable motivic null-Hopf relation

view    print


Published: January 12, 2026.
Keywords: unstable motivic homotopy theory, Toda brackets.
Subject [2010]: 14F42,55Q40.

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.

Acknowledgements

I would like to thank my doctoral advisor Oliver Rondigs for his support and guidance.


Author information

Xiaowen Dong
University of Osnabruck
Neuer Graben 29
49074 Osnabruck, Germany

xiaowen.dong@uni-osnabrueck.de