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Journal ArticleDate
2015-01-01Author
Dolgushev, VWillwacher, T
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http://hdl.handle.net/20.500.12613/5834
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10.1016/j.jpaa.2014.06.010Abstract
© 2014 Elsevier B.V. We study categorial properties of the operadic twisting functor Tw. In particular, we show that Tw is a comonad. Coalgebras of this comonad are operads for which a natural notion of twisting by Maurer-Cartan elements exists. We give a large class of examples, including the classical cases of the Lie, associative and Gerstenhaber operads, and their infinity-counterparts Lie∞, As∞, Ger∞. We also show that Tw is well behaved with respect to the homotopy theory of operads. As an application we show that every solution of Deligne's conjecture is homotopic to a solution that is compatible with twisting.Citation to related work
Elsevier BVHas part
Journal of Pure and Applied AlgebraADA compliance
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http://dx.doi.org/10.34944/dspace/5816