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Motivic analogues of $\mathsf{MO}$ and $\mathsf{MSO}$
Dondi Ellis |
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Vol. 4 (2019), No. 3, 345–382
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Abstract |
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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. |
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Keywords
motivic cohomology, motivic homotopy theory, bordism and
cobordism theories, formal group laws, equivariant homology
and cohomology, classification of homotopy type, stable
homotopy theory, spectra
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Mathematical Subject Classification 2010
Primary: 14F42
Secondary: 19D99, 55N22, 55N91, 55P15, 55P42
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Milestones
Received: 16 March 2017
Revised: 7 January 2019
Accepted: 23 January 2019
Published: 17 December 2019
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Authors |
| Dondi Ellis | |
| Department of Mathematics University of Michigan Ann Arbor, MI United States |
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