Anno, Rina and Logvinenko, Timothy ORCID: https://orcid.org/0000-0001-5279-6977 2024. Unbounded twisted complexes. Journal of Algebra 647 , pp. 794-822. 10.1016/j.jalgebra.2024.01.039 |
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Official URL: https://doi.org/10.1016/j.jalgebra.2024.01.039
Abstract
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 factors through B if the latter is closed under twisting. As an application, we rewrite definitions of A_∞-structures in terms of twisted complexes to make them work in an arbitrary monoidal DG category or a DG bicategory.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Elsevier |
ISSN: | 0021-8693 |
Date of First Compliant Deposit: | 27 February 2024 |
Date of Acceptance: | 26 February 2024 |
Last Modified: | 04 Apr 2024 12:32 |
URI: | https://orca.cardiff.ac.uk/id/eprint/166581 |
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