Comments on the shifts and the signs in A-infinity categories
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🧮 math.AT
hep-thmath.AGmath.QA
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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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