Equivalence of formalities of the little discs operad

Details Equivalence of formalities of the little discs operad Equivalence of formalities of the little discs operad

2009-05-12

arxiv.org/abs/0905.1789v1

Mathematics

Quantum Algebra

Scientific paper

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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