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

Research output: Contribution to journalJournal article


Journal publication date2008
JournalProceedings of the American Mathematical Society
Journal number2
Number of pages11
Original languageEnglish


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.