Group completion via the action $\infty$-category
| Autor: | Lehner, Georg |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We give a generalization of Quillen's $S^{-1}S$ construction for arbitrary $E_n$-monoids as an $E_{n-1}$-monoidal $\infty$-category and show that its realization models the group completion provided that $n \geq 2$. We will also show how this construction is related to a variety of other constructions of the group completion. |
| Databáze: | arXiv |
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