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Structure Relations in Special A_\infty-bialgebras

Ronald Umble
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Abstract

We compute the structure relations in special A_\infty-bialgebras whose operations are limited to those defining the underlying A_\infty-(co)algebra substructure. Such bialgebras appear as the homology of certain loop spaces. Whereas structure relations in general A_\infty-bialgebras depend upon the combinatorics of permutahedra, only Stasheff's associahedra are required here.

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Ronald Umble. 2005-06-22. Structure Relations in Special A_\infty-bialgebras. https://arxiv.org/abs/math/0506446

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