Publication: The Weil algebra and the Van Est isomorphism
The Weil algebra and the Van Est isomorphism
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Abad, C. A., & Crainic, M. (2011). The Weil algebra and the Van Est isomorphism. Annales de l’institut Fourier, 61(3), 927–970. https://doi.org/10.5802/aif.2633
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This paper belongs to a series of papers 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 introduce the Weil algebra W(A) associated to any Lie algebroid A. We then show that this Weil algebra is related to the Bott-Shulman complex (computing the cohomology of the classifying space) via a Van Est map and we prove a Van Est isomorphism theorem. As application, we generalize and find a simpler more conceptual proof of the main result of [6] on
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- Abad, C A
- Crainic, M
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Abad, C. A., & Crainic, M. (2011). The Weil algebra and the Van Est isomorphism. Annales de l’institut Fourier, 61(3), 927–970. https://doi.org/10.5802/aif.2633
