Wednesday, July 31, 2013

1307.8066 (Ruggero Bandiera)

Formality of Kapranov's brackets on pre-Lie algebras    [PDF]

Ruggero Bandiera
We 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.
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