English

Structure Relations in Special A_\infty-bialgebras

Algebraic Topology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0506446,
  title  = {Structure Relations in Special A_\infty-bialgebras},
  author = {Ronald Umble},
  journal= {arXiv preprint arXiv:math/0506446},
  year   = {2007}
}

Comments

9 pages, 4 figures