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

Research output: Contribution to journalJournal article

<mark>Journal publication date</mark>2008
<mark>Journal</mark>Proceedings of the American Mathematical Society
Issue number2
Number of pages11
Pages (from-to)735-745
<mark>Original language</mark>English


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.