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The Stasheff model of a simply-connected manifold and the string bracket
Author(s):
A.
Lazarev
Journal:
Proc. Amer. Math. Soc.
136
(2008),
735-745.
MSC (2000):
Primary 55P62;
Secondary 13D03, 57T30
Posted:
October 24, 2007
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Additional information
Abstract:
We revisit Stasheff's construction of a minimal Lie-Quillen model of a simply-connected closed manifold  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  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:
al179@le.ac.uk
DOI:
10.1090/S0002-9939-07-09040-5
PII:
S 0002-9939(07)09040-5
Received by editor(s):
December 30, 2005
Received by editor(s) in revised form:
December 2, 2006
Posted:
October 24, 2007
Additional Notes:
This research was partially supported by the EPSRC grant No. GR/SO7148/01
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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