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The Stasheff Model of a Simply-Connected Manifold and the String Bracket.

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posted on 2009-05-26, 14:55 authored by Andrey Lazarev
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.

History

Citation

Proceedings of the American Mathematical Society, 2008, 136 (2), pp. 735-745.

Published in

Proceedings of the American Mathematical Society

Publisher

The American Mathematical Society

issn

0002-9939

Copyright date

2008

Available date

2009-05-26

Publisher version

http://www.ams.org/journals/proc/2008-136-02/S0002-9939-07-09040-5/home.html

Language

en

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