Rational Enriched Motivic Spaces

Peter Bonart

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arXiv · 2310.17354

Rational Enriched Motivic Spaces

Peter Bonart

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Abstract

Enriched motivic $\mathcal A$-spaces are introduced and studied in this paper, where $\mathcal A$ is an additive category of correspondences. They are linear counterparts of motivic $\Gamma$-spaces. It is shown that rational special enriched motivic $\widetilde{\mathrm{Cor}}$-spaces recover connective motivic bispectra with rational coefficients, where $\widetilde{\mathrm{Cor}}$ is the category of Milnor--Witt correspondences.

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Peter Bonart. 2023-10-26. Rational Enriched Motivic Spaces. https://arxiv.org/abs/2310.17354

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