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

Andrey Lazarev

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

Algebraic Topology 2016-09-07 v1 Quantum Algebra

Authors: Andrey Lazarev

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.

Keywords

stasheff model simply-connected manifold infinity-algebra lie-quillen model free loop space equivariant homology string bracket

Cite

@article{arxiv.math/0512596,
  title  = {The Stasheff model of a simply-connected manifold and the string bracket},
  author = {Andrey Lazarev},
  journal= {arXiv preprint arXiv:math/0512596},
  year   = {2016}
}

Comments

9 pages

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