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

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The Stasheff model of a simply-connected manifold and the string bracket. / Lazarev, Andrey.
In: Proceedings of the American Mathematical Society, Vol. 136, No. 2, 2008, p. 735-745.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Lazarev A. The Stasheff model of a simply-connected manifold and the string bracket. Proceedings of the American Mathematical Society. 2008;136(2):735-745.

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Lazarev, Andrey. / The Stasheff model of a simply-connected manifold and the string bracket. In: Proceedings of the American Mathematical Society. 2008 ; Vol. 136, No. 2. pp. 735-745.

Bibtex

@article{0367f6654ad34c03823e4a4b761a685e,
title = "The Stasheff model of a simply-connected manifold and the string bracket.",
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.",
author = "Andrey Lazarev",
year = "2008",
language = "English",
volume = "136",
pages = "735--745",
journal = "Proceedings of the American Mathematical Society",
issn = "1088-6826",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - The Stasheff model of a simply-connected manifold and the string bracket.

AU - Lazarev, Andrey

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

M3 - Journal article

VL - 136

SP - 735

EP - 745

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 1088-6826

IS - 2

ER -