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The Stasheff model of a simply-connected manifold and the string bracket

Andrey Lazarev
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Abstract

We revisit Stasheff's construction of a minimal Lie-Quillen model of a simply-connected closed manifold $M$ using the language of infinity-algebras. This model is then used to construct a graded Lie bracket on the equivariant homology of the free loop space of $M$ minus a point similar to the Chas-Sullivan string bracket.

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Andrey Lazarev. 2005-12-27. The Stasheff model of a simply-connected manifold and the string bracket. https://arxiv.org/abs/math/0512596

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