Operadic Hochschild chain complex and free loop spaces
classification
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complexspacealgebrachainfreehochschildloopsingular
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We construct for any algebra over an operad an Hochschild chain complex. In the case of the singular cochain complex of a topological space, considered as a commutative algebra up to homotopy, we show that this complex computes the singular cohomology of the free loop space over this topological space.
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