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math.QA2009★ 2 cited
Cyclic operad formality for compactified moduli spaces of genus zero surfaces
Jeffrey Giansiracusa, Paolo Salvatore
The framed little 2-discs operad is homotopy equivalent to the Kimura-Stasheff-Voronov cyclic operad of moduli spaces of genus zero stable curves with tangent rays at the marked po…
math.QA2009
Formality of the framed little 2-discs operad and semidirect products
Jeffrey Giansiracusa, Paolo Salvatore
We prove that the operad of framed little 2-discs is formal. Tamarkin and Kontsevich each proved that the unframed 2-discs operad is formal. The unframed 2-discs is an operad in th…