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.
The multiplicative structures on motivic homotopy groups / D. Dugger, B.I. Dundas, D.C. Isaksen, P.A. Oestvaer. - In: ALGEBRAIC AND GEOMETRIC TOPOLOGY. - ISSN 1472-2739. - 24:3(2024), pp. 1781-1786. [10.2140/agt.2024.24.1781]
The multiplicative structures on motivic homotopy groups
P.A. OestvaerUltimo
2024
Abstract
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.
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