Unbounded twisted complexes

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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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
Date Type:	Publication
Status:	Published
Schools:	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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