Obstructions for Associativity in Stable Homotopy Theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911672859361280 |
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| author | Willumsgaard, Sophus Valentin |
| author_facet | Willumsgaard, Sophus Valentin |
| contents | We give a construction of the obstruction theory for $\mathbb{A}_{n}$-algebra structures in stable $\infty$-categories, and give some properties of it. We use this to show that the spectrum $\mathbb{S} / 4$ admits an $\mathbb{A}_5$-multiplication using synthetic spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11390 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Obstructions for Associativity in Stable Homotopy Theory Willumsgaard, Sophus Valentin Algebraic Topology Category Theory 18N70 (Primary) We give a construction of the obstruction theory for $\mathbb{A}_{n}$-algebra structures in stable $\infty$-categories, and give some properties of it. We use this to show that the spectrum $\mathbb{S} / 4$ admits an $\mathbb{A}_5$-multiplication using synthetic spectra. |
| title | Obstructions for Associativity in Stable Homotopy Theory |
| topic | Algebraic Topology Category Theory 18N70 (Primary) |
| url | https://arxiv.org/abs/2605.11390 |