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arxiv: 1801.06344 · v2 · pith:L7TWZZM4new · submitted 2018-01-19 · 🧮 math.AG · math.AT

A k-linear triangulated category without a model

classification 🧮 math.AG math.AT
keywords triangulatedcategoryexamplesfieldlinearmodelwithoutbeen
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In this paper we give an example of a triangulated category, linear over a field of characteristic zero, which does not carry a DG-enhancement. The only previous examples of triangulated categories without a model have been constructed by Muro, Schwede and Strickland. These examples are however not linear over a field.

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    In monoidal abelian categories with enough right-flat projectives, the co-Hochschild complex of the unit's projective resolution carries a B_infinity-structure that is A_infinity-quasi-isomorphic to the derived endomo...