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

Authors

K. Arun Kumar, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

New York Journal of Mathematics

Abstract

We construct a periodic motivic spectrum over Spec(ℤ) which when pulled back to any scheme S with¹2^{∈ Γ(S, O}S) is the HP¹−spectrum constructed by Panin and Walter. This spectrum KO^geo is constructed using closed subschemes of the Grassmannians Gr(r, n). Using this we show that KO^geo is cellular.

First Page

323

Last Page

350

Publication Date

1-1-2024

Recommended Citation

Arun Kumar, K., "Construction of the motivic cellular spectrum KOgeo over SpeC(ℤ)" (2024). Journal Articles. 4676.
https://digitalcommons.isical.ac.in/journal-articles/4676