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

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.

9 pages

References in corpus (2)

• Operads, homotopy algebra and iterated integrals for double loop spaces
• String Topology