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Lie algebroid modules and representations up to homotopy
Lie algebroid representation up to homotopy graded manifold graded vector bundle Q-manifold
2011/8/30
Abstract: We explain how Lie algebroid modules in the sense of Vaintrob provide geometric models for Lie algebroid representations up to homotopy. Specifically, we show that there is a noncanonical wa...
The A_infty de Rham theorem and integration of representations up to homotopy
Rham theorem representations up to homotopy
2010/11/24
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 those of its infin...
Tensor products of representations up to homotopy
Tensor products of representations homotopy
2010/12/14
We study the construction of tensor products of representations up to homotopy, which
are the A∞ version of ordinary representations. We provide formulas for the construction
of tensor products of r...
