The Multiplicative Structures on Motivic Homotopy Groups

Fuente: arXiv
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Auteurs principaux: Dugger, Daniel, Dundas, Bjørn Ian, Isaksen, Daniel C., Østvær, Paul Arne
Format: Preprint
Publié: 2022
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author Dugger, Daniel
Dundas, Bjørn Ian
Isaksen, Daniel C.
Østvær, Paul Arne
author_facet Dugger, Daniel
Dundas, Bjørn Ian
Isaksen, Daniel C.
Østvær, Paul Arne
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_03938
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The Multiplicative Structures on Motivic Homotopy Groups
Dugger, Daniel
Dundas, Bjørn Ian
Isaksen, Daniel C.
Østvær, Paul Arne
Algebraic Geometry
Algebraic Topology
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.
title The Multiplicative Structures on Motivic Homotopy Groups
topic Algebraic Geometry
Algebraic Topology
url https://arxiv.org/abs/2212.03938