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arXiv · 0905.1789

Equivalence of formalities of the little discs operad

Pavol Severa·Thomas Willwacher
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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.

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Pavol Severa, Thomas Willwacher. 2009-05-12. Equivalence of formalities of the little discs operad. https://doi.org/10.1215/00127094-1443502

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