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Rational enriched motivic spaces
Peter Bonart
Journal of Algebra, Volume: 657, Pages: 704 - 747
Swansea University Author: Peter Bonart
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© 2024 The Author(s). This is an open access article under the CC BY license.
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DOI (Published version): 10.1016/j.jalgebra.2024.05.034
Abstract
Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivic Γ-spaces. It is shown that rational special enriched motivic -spaces recover connective motivic bispectra with rational coefficients, where is...
| Published in: | Journal of Algebra |
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| ISSN: | 0021-8693 |
| Published: |
Elsevier BV
2024
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa66715 |
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| Abstract: |
Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivic Γ-spaces. It is shown that rational special enriched motivic -spaces recover connective motivic bispectra with rational coefficients, where is the category of Milnor–Witt correspondences. |
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| Keywords: |
Rational motivic stable homotopy theory; motivic Γ-spaces; enriched category theory |
| College: |
Faculty of Science and Engineering |
| Funders: |
Supported by the Swansea Science Doctoral Training Partnerships, and the Engineering and Physical Sciences Research Council (Project Reference: 2484592). |
| Start Page: |
704 |
| End Page: |
747 |