Geodesic
The multiplicative structures on motivic homotopy groups
Dugger, Daniel1 ; Dundas, Bjørn Ian2 ; Isaksen, Daniel C3 ; Østvær, Paul Arne4
1 Department of Mathematics, University of Oregon, Eugene, OR, United States
2 Department of Mathematics, University of Bergen, Bergen, Norway
3 Department of Mathematics, Wayne State University, Detroit, MI, United States
4 Department of Mathematics F Enriques, University of Milan, Milan, Italy, Department of Mathematics, University of Oslo, Oslo, Norway
Algebraic and Geometric Topology, Tome 24 (2024) no. 3, pp. 1781-1786

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2024.24.1781
Keywords: graded commutativity, motivic ring spectra, Betti realization

Dugger, Daniel 1 ; Dundas, Bjørn Ian 2 ; Isaksen, Daniel C 3 ; Østvær, Paul Arne 4

1 Department of Mathematics, University of Oregon, Eugene, OR, United States
2 Department of Mathematics, University of Bergen, Bergen, Norway
3 Department of Mathematics, Wayne State University, Detroit, MI, United States
4 Department of Mathematics F Enriques, University of Milan, Milan, Italy, Department of Mathematics, University of Oslo, Oslo, Norway 
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Dugger, Daniel; Dundas, Bjørn Ian; Isaksen, Daniel C; Østvær, Paul Arne. The multiplicative structures on motivic homotopy groups. Algebraic and Geometric Topology, Tome 24 (2024) no. 3, pp. 1781-1786. doi: 10.2140/agt.2024.24.1781

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