Rational Homotopy Automorphisms of E2-operads and the Grothendieck-teichmüller Group
نویسنده
چکیده
The singular chain complex of the little 2-cubes operad defines an operad in simplicial cocommutative coalgebras. This operad has a dual structure, formed by a cooperad in cosimplicial commutative algebras, which defines model of the prounipotent completion of the topological operad of little
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OPERADS & GROTHENDIECK - TEICHMÜLLER GROUPS – DRAFT DOCUMENT by
This preprint is an extract from a research monograph in preparation on the homotopy of operads and Grothendieck-Teichmüller groups. The ultimate objective of this book is to prove that the Grothendieck-Teichmüller group is the group of homotopy automorphisms of a rational completion of the little 2-discs operad. The present excerpts include a comprehensive account of the fundamental concepts o...
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