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Graph cohomology classes in the Batalin-Vilkovisky formalism

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Graph cohomology classes in the Batalin-Vilkovisky formalism. / Hamilton, Alastair; Lazarev, Andrey.
In: Journal of Geometry and Physics, Vol. 59, No. 5, 05.2009, p. 555-575.

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

Harvard

Hamilton, A & Lazarev, A 2009, 'Graph cohomology classes in the Batalin-Vilkovisky formalism', Journal of Geometry and Physics, vol. 59, no. 5, pp. 555-575. https://doi.org/10.1016/j.geomphys.2009.01.007

APA

Hamilton, A., & Lazarev, A. (2009). Graph cohomology classes in the Batalin-Vilkovisky formalism. Journal of Geometry and Physics, 59(5), 555-575. https://doi.org/10.1016/j.geomphys.2009.01.007

Vancouver

Hamilton A, Lazarev A. Graph cohomology classes in the Batalin-Vilkovisky formalism. Journal of Geometry and Physics. 2009 May;59(5):555-575. doi: 10.1016/j.geomphys.2009.01.007

Author

Hamilton, Alastair ; Lazarev, Andrey. / Graph cohomology classes in the Batalin-Vilkovisky formalism. In: Journal of Geometry and Physics. 2009 ; Vol. 59, No. 5. pp. 555-575.

Bibtex

@article{069e663e9b9d4ed1b378de9186062203,
title = "Graph cohomology classes in the Batalin-Vilkovisky formalism",
abstract = "This paper gives a conceptual formulation of Kontsevich{\textquoteright}s {\textquoteleft}dual construction{\textquoteright} producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction–whilst equivalent to the original one–is combinatorics-free and is based on the Batalin–Vilkovisky formalism, from which its gauge independence is immediate.",
keywords = "Graph cohomology, Feynman diagrams , Odd symplectic geometry , Frobenius algebra",
author = "Alastair Hamilton and Andrey Lazarev",
year = "2009",
month = may,
doi = "10.1016/j.geomphys.2009.01.007",
language = "English",
volume = "59",
pages = "555--575",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Graph cohomology classes in the Batalin-Vilkovisky formalism

AU - Hamilton, Alastair

AU - Lazarev, Andrey

PY - 2009/5

Y1 - 2009/5

N2 - This paper gives a conceptual formulation of Kontsevich’s ‘dual construction’ producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction–whilst equivalent to the original one–is combinatorics-free and is based on the Batalin–Vilkovisky formalism, from which its gauge independence is immediate.

AB - This paper gives a conceptual formulation of Kontsevich’s ‘dual construction’ producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction–whilst equivalent to the original one–is combinatorics-free and is based on the Batalin–Vilkovisky formalism, from which its gauge independence is immediate.

KW - Graph cohomology

KW - Feynman diagrams

KW - Odd symplectic geometry

KW - Frobenius algebra

U2 - 10.1016/j.geomphys.2009.01.007

DO - 10.1016/j.geomphys.2009.01.007

M3 - Journal article

VL - 59

SP - 555

EP - 575

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 5

ER -