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