The Stasheff model of a simply-connected manifold and the string bracket
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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.References
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Additional Information
- A. Lazarev
- Affiliation: Department of Mathematics, University of Leicester, Leicester LE1 7RH, England
- Email: al179@le.ac.uk
- Received by editor(s): December 30, 2005
- Received by editor(s) in revised form: December 2, 2006
- Published electronically: October 24, 2007
- Additional Notes: This research was partially supported by the EPSRC grant No. GR/SO7148/01
- Communicated by: Paul Goerss
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 735-745
- MSC (2000): Primary 55P62; Secondary 13D03, 57T30
- DOI: https://doi.org/10.1090/S0002-9939-07-09040-5
- MathSciNet review: 2358516