Formality of Kapranov's brackets on pre-Lie algebras [PDF]
Ruggero BandieraWe construct a family of L-infinity structures on the suspension L[-1] of a graded pre-Lie algebra L: moreover using a simple criterion we are able to prove that these are all homotopy abelian. Among the examples we recover the L-infinity structure introduced by Kapranov on the suspended Dolbeault complex of a Kaehler manifold.View original: http://arxiv.org/abs/1307.8066
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