Deformations of Lie brackets and representations up to homotopy

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.

28 pages

Cited by in corpus (1)

• The A_infty de Rham theorem and integration of representations up to homotopy