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arXiv:1811.12664 [math.AT]AbstractReferencesReviewsResources

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

Hiroshige Kajiura

Published 2018-11-30Version 1

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.

Categories: math.AT, hep-th, math.AG, math.QA
Subjects: 18G55, 18E30
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