New York Journal of Mathematics
Volume 30 (2024), 323-350


K. Arun Kumar

Construction of the motivic cellular spectrum KOgeo over Spec(Z)

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Published: March 8, 2024.
Keywords: Motivic spectrum, Hermitian K-theory.
Subject [2010]: 19E08, 19G38, 14F42.

We construct a periodic motivic spectrum over Spec(Z) which when pulled back to any scheme S with 1/2∈Γ(S,OS) is the HP1-spectrum constructed by Panin and Walter. This spectrum KOgeo is constructed using closed subschemes of the Grassmannians Gr(r,n). Using this we show that KOgeo is cellular.


The author would like to thank Universität Osnabrück for the opportunity to complete their PhD as part of the Institute of Mathematics and providing support as part of the graduate school "DFG-GK1916 Combinatorial Structures in Geometry".

Author information

K. Arun Kumar
Indian Statistical Institute
Bangalore Centre, India