21 citations · 64 across the 16 of their papers we have counts for
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math.DG2010★ 3 cited
The A_infty de Rham theorem and integration of representations up to homotopy
Camilo Arias Abad, Florian Schaetz
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct an A_infty functor from the representations up to homotopy of a Lie algebroid to…
math.AT2010★ 13 cited
Tensor products of representations up to homotopy
Camilo Arias Abad, Marius Crainic, Benoit Dherin
We study the construction of tensor products of representations up to homotopy, which are the A-infinity version of ordinary representations. We provide formulas for the constructi…
math.DG2010★ 2 cited
Deformations of Lie brackets and representations up to homotopy
Camilo Arias Abad, Florian Schaetz
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 a…