21 citations · 64 across the 16 of their papers we have counts for
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math.AT2009★ 6 cited
Representations up to homotopy and Bott's spectral sequence for Lie groupoids
Camilo Arias Abad, Marius Crainic
This belongs to a series of papers devoted to the study of the cohomology of classifying spaces of Lie groupoids. Our aim here is to introduce and study the notion of representatio…
math.DG2009★ 2 cited
The Weil algebra and the Van Est isomorphism
Camilo Arias Abad, Marius Crainic
This paper belongs to a series devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman's BRST model, here we introd…
math.DG2009★ 21 cited
Representations up to homotopy of Lie algebroids
Camilo Arias Abad, Marius Crainic
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples. We use representations up to homotopy to define the adj…