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

A Lazarev

Research output: Contribution to journalArticle (Academic Journal)

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.
Translated title of the contributionThe Stasheff model of a simply-connected manifold and the string bracket
Original languageEnglish
Number of pages9
JournalUnknown
Publication statusPublished - Dec 2005

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