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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Stasheff model of a simply-connected manifold and the string bracket
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by A. Lazarev PDF
Proc. Amer. Math. Soc. 136 (2008), 735-745 Request permission


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.
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Additional Information
  • A. Lazarev
  • Affiliation: Department of Mathematics, University of Leicester, Leicester LE1 7RH, England
  • Email:
  • 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:
  • MathSciNet review: 2358516