Deformations of Lie brackets and representations up to homotopy

Details Deformations of Lie brackets and representations up to homotopy Deformations of Lie brackets and representations up to homotopy

2010-06-08

arxiv.org/abs/1006.1550v1

Mathematics

Differential Geometry

28 pages

Scientific paper

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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