Unbounded twisted complexes
| Autor: | Anno, Rina, Logvinenko, Timothy |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We define unbounded twisted complexes and bicomplexes generalising the notion of a (bounded) twisted complex over a DG category [BK90]. These need to be considered relative to another DG category $B$ admitting countable direct sums and shifts. The resulting DG category of unbounded twisted complexes has a fully faithful convolution functor into Mod-$B$ which filters through $B$ if the latter admits change of differential. As an application, we rewrite definitions of $A_{\infty}$-structures in terms of twisted complexes to make them work in an arbitrary monoidal DG category or a DG bicategory. Comment: 22 pages, v1 |
| Databáze: | arXiv |
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