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

Lazarev, A.

doi:10.1090/S0002-9939-07-09040-5

The Stasheff model of a simply-connected manifold and the string bracket
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Proc. Amer. Math. Soc. 136 (2008), 735-745 Request permission

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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