Tensor Product of Massey Products

Authors
Citation
Zheng, Qi Bing, Tensor Product of Massey Products, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 13-22
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
13 - 22
Database
ACNP
SICI code
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.