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Two-term silting and $τ$-cluster morphism categories (2110.03472v5)

Published 7 Oct 2021 in math.RT and math.CT

Abstract: We generalise $\tau$-cluster morphism categories to the setting of non-positive dg algebras with finite dimensional cohomology in all degrees. The compatibility of silting reduction with support $\tau$-tilting reduction will be an essential ingredient when linking our definition to those of Buan--Marsh and Buan--Hanson.

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