Deformations of Lie brackets and representations up to homotopy
Differential Geometry
2010-06-09 v1
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.
Keywords
Cite
@article{arxiv.1006.1550,
title = {Deformations of Lie brackets and representations up to homotopy},
author = {Camilo Arias Abad and Florian Schaetz},
journal= {arXiv preprint arXiv:1006.1550},
year = {2010}
}
Comments
28 pages