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arxiv: math/0512596 · v1 · pith:PQ7L4DK4new · submitted 2005-12-27 · 🧮 math.AT · math.QA

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

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keywords bracketmodelmanifoldsimply-connectedstasheffstringchas-sullivanclosed
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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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