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The
universal six-functor formalism
Brad Drew and Martin Gallauer |
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Vol. 7 (2022), No. 4, 599–649
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DOI: 10.2140/akt.2022.7.599
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Abstract |
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We prove that Morel–Voevodsky’s stable -homotopy theory affords the universal coefficient system, giving rise to Grothendieck’s six operations. |
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Keywords
motivic homotopy theory, $\mathbb A^1$-homotopy,
coefficient system, six operations, six-functor formalism
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Mathematical Subject Classification
Primary: 14F20, 14F42, 18N60
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Milestones
Received: 19 July 2021
Revised: 17 September 2022
Accepted: 30 October 2022
Published: 15 March 2023
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Authors |
| Brad Drew | |
| Albert-Ludwigs-Universität
Freiburg Freiburg Germany |
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| Martin Gallauer | |
| Max-Planck-Institut für
Mathematik Bonn Germany |
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