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Deformations of Lie brackets and representations up to homotopy

Published 8 Jun 2010 in math.DG | (1006.1550v1)

Abstract: We show that representations up to homotopy can be differentiated in a functorial way. A van Est type isomorphism theorem is established and used to prove a conjecture of Crainic and Moerdijk on deformations of Lie brackets.

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