Abstract
We construct algebraic unoriented and oriented cobordism, named and , respectively. is defined and its homotopy groups are explicitly computed, giving an answer to a question of Jack Morava. is also defined and its coefficients are explicitly computed after completing at a prime . Similarly to , the homotopy type of depends on whether the prime is even or odd. Finally, a computation of a localization of the homotopy groups of is given.
Citation
Dondi Ellis. "Motivic analogues of $\mathsf{MO}$ and $\mathsf{MSO}$." Ann. K-Theory 4 (3) 345 - 382, 2019. https://doi.org/10.2140/akt.2019.4.345
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