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arxiv: 1811.12664 · v1 · pith:OW2YXXKVnew · submitted 2018-11-30 · 🧮 math.AT · hep-th· math.AG· math.QA

Comments on the shifts and the signs in A-infinity categories

classification 🧮 math.AT hep-thmath.AGmath.QA
keywords a-infinitycategorieschoicesdifferentcategorysignscommentscompatible
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We discuss that there exist at least two different choices in the signs of the induced A-infinity structures in shifting the degree of objects in an A-infinity category. We show that both of these choices are naturalin the sense that they are compatible with the homological perturbation theory of A-infinity categories. These different choices give different triangulated categories out of an A-infinity category.

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