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Tensor Product of Massey Products

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Abstract

In this paper, we interpret Massey products in terms of realizations (twitsting cochains) of certain differential graded coalgebras with values in differential graded algebras. In the case where the target algebra is the cobar construction of a differential graded commutative Hopf algebra, we construct the tensor product of realizations and show that the tensor product is strictly associative, and commutative up to homotopy.

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Correspondence to Qi Bing Zheng.

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Project supported by National Natural Science Foundation of China

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Zheng, Q.B. Tensor Product of Massey Products. Acta Math Sinica 22, 13–22 (2006). https://doi.org/10.1007/s10114-004-0525-x

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  • DOI: https://doi.org/10.1007/s10114-004-0525-x

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