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The multiplicative
structures on motivic homotopy groups
Daniel Dugger, Bjørn Ian Dundas, Daniel C Isaksen and Paul Arne Østvær |
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Algebraic & Geometric Topology 24 (2024) 1781–1786
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Abstract |
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We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been observed in situations like supersymmetry, neither we nor other researchers we consulted were aware of the conflicting definitions and the potential consequences. Hence this short note. |
Keywords
graded commutativity, motivic ring spectra, Betti
realization
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Mathematical Subject Classification
Primary: 14F42
Secondary: 13A02
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References |
Publication
Received: 7 December 2022
Revised: 14 December 2022
Accepted: 3 January 2023
Published: 28 June 2024
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Authors |
| Daniel Dugger | |
| Department of Mathematics University of Oregon Eugene, OR United States |
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| Bjørn Ian Dundas | |
| Department of Mathematics University of Bergen Bergen Norway |
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| Daniel C Isaksen | |
| Department of Mathematics Wayne State University Detroit, MI United States |
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| Paul Arne Østvær | |
| Department of Mathematics F
Enriques University of Milan Milan Italy |
Department of Mathematics University of Oslo Oslo Norway |
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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