Structure Relations in Special A_\infty-bialgebras

Details Structure Relations in Special A_\infty-bialgebras Structure Relations in Special A_\infty-bialgebras

2005-06-22

arxiv.org/abs/math/0506446v2

Mathematics

Algebraic Topology

9 pages, 4 figures

Scientific paper

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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