Equivalence of formalities of the little discs operad
Quantum Algebra
2019-12-19 v1
Abstract
We show that Kontsevich's formality of the little disk operad, obtained using graphs, is homotopic to Tamarkin's formality, for a special choice of a Drinfeld associator. The associator is given by parallel transport of the Alekseev-Torossian connection.
Keywords
Cite
@article{arxiv.0905.1789,
title = {Equivalence of formalities of the little discs operad},
author = {Pavol Severa and Thomas Willwacher},
journal= {arXiv preprint arXiv:0905.1789},
year = {2019}
}