Equivalence of formalities of the little discs operad

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English

Publication date2009

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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Citation (ISO format)

SEVERA, Pavol, WILLWACHER, Thomas. Equivalence of formalities of the little discs operad. 2009.

Preprint

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Creation27/09/2010 15:04:00

First validation27/09/2010 15:04:00

Update time14/03/2023 16:06:47

Status update14/03/2023 16:06:47

Last indexation29/10/2024 17:10:14