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Abstract: For a cyclic $\AI$-algebra, a potential recording the structure constants canbe defined. We define an analogous potential for a homotopy cyclic$\AI$-algebra and prove its properties. On the other hand, we find anotherdifferent potential for a homotopy cyclic $\AI$-algebra, which is related tothe algebraic analogue of generalized holonomy map of Abbaspour, Tradler andZeinalian.



Author: Cheol-Hyun Cho, Sangwook Lee

Source: https://arxiv.org/







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