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Characteristic classes of $\ai$-algebras

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Characteristic classes of $\ai$-algebras. / Hamilton, Alastair; Lazarev, Andrey.
In: Journal of Homotopy and Related Structures, Vol. 3, No. 1, 2008, p. 65-111.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hamilton, A & Lazarev, A 2008, 'Characteristic classes of $\ai$-algebras', Journal of Homotopy and Related Structures, vol. 3, no. 1, pp. 65-111. <http://tcms.org.ge/Journals/JHRS/volumes/2008/volume3-1.htm>

APA

Hamilton, A., & Lazarev, A. (2008). Characteristic classes of $\ai$-algebras. Journal of Homotopy and Related Structures, 3(1), 65-111. http://tcms.org.ge/Journals/JHRS/volumes/2008/volume3-1.htm

Vancouver

Hamilton A, Lazarev A. Characteristic classes of $\ai$-algebras. Journal of Homotopy and Related Structures. 2008;3(1):65-111.

Author

Hamilton, Alastair ; Lazarev, Andrey. / Characteristic classes of $\ai$-algebras. In: Journal of Homotopy and Related Structures. 2008 ; Vol. 3, No. 1. pp. 65-111.

Bibtex

@article{38a3d0658cbf4a74a8e3cdd1f53e8b88,
title = "Characteristic classes of $\ai$-algebras",
abstract = "A standard combinatorial construction, due to Kontsevich, associates to any $\ai$-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We propose an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy equivalent algebras give rise to the same cohomology classes. Along the way we re-prove Kontsevich's theorem relating graph homology to the homology of certain infinite-dimensional Lie algebras. An application to topological conformal field theories is given.",
author = "Alastair Hamilton and Andrey Lazarev",
year = "2008",
language = "English",
volume = "3",
pages = "65--111",
journal = "Journal of Homotopy and Related Structures",
issn = "2193-8407",
publisher = "Springer Science + Business Media",
number = "1",

}

RIS

TY - JOUR

T1 - Characteristic classes of $\ai$-algebras

AU - Hamilton, Alastair

AU - Lazarev, Andrey

PY - 2008

Y1 - 2008

N2 - A standard combinatorial construction, due to Kontsevich, associates to any $\ai$-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We propose an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy equivalent algebras give rise to the same cohomology classes. Along the way we re-prove Kontsevich's theorem relating graph homology to the homology of certain infinite-dimensional Lie algebras. An application to topological conformal field theories is given.

AB - A standard combinatorial construction, due to Kontsevich, associates to any $\ai$-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We propose an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy equivalent algebras give rise to the same cohomology classes. Along the way we re-prove Kontsevich's theorem relating graph homology to the homology of certain infinite-dimensional Lie algebras. An application to topological conformal field theories is given.

M3 - Journal article

VL - 3

SP - 65

EP - 111

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

SN - 2193-8407

IS - 1

ER -