The Grothendieck-Teichm\"uller group action on differential forms and formality morphism of chains
Quantum Algebra
2014-01-15 v2
Abstract
It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. We show that this morphism may be extended to a Kontsevich-Shoikhet formality morphism of cochains and chains, by describing the action of the Grothendieck-Teichm\"uller group on such objects (up to homotopy).
Keywords
Cite
@article{arxiv.1308.6097,
title = {The Grothendieck-Teichm\"uller group action on differential forms and formality morphism of chains},
author = {Thomas Willwacher},
journal= {arXiv preprint arXiv:1308.6097},
year = {2014}
}