Framed discs operads and Batalin-Vilkovisky algebras

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Standard

Framed discs operads and Batalin-Vilkovisky algebras. / Salvatore, Paolo; Wahl, Nathalie.

I: Quarterly Journal of Mathematics, Bind 54, 2003, s. 213-231.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Salvatore, P & Wahl, N 2003, 'Framed discs operads and Batalin-Vilkovisky algebras', Quarterly Journal of Mathematics, bind 54, s. 213-231.

APA

Salvatore, P., & Wahl, N. (2003). Framed discs operads and Batalin-Vilkovisky algebras. Quarterly Journal of Mathematics, 54, 213-231.

Vancouver

Salvatore P, Wahl N. Framed discs operads and Batalin-Vilkovisky algebras. Quarterly Journal of Mathematics. 2003;54:213-231.

Author

Salvatore, Paolo ; Wahl, Nathalie. / Framed discs operads and Batalin-Vilkovisky algebras. I: Quarterly Journal of Mathematics. 2003 ; Bind 54. s. 213-231.

Bibtex

@article{fb097ab0d6b511dd9473000ea68e967b,
title = "Framed discs operads and Batalin-Vilkovisky algebras",
abstract = "The framed n-discs operad fD_n is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on by fD_n is equivalent to the n-fold loop space on a SO(n)-space. Examples of fD_2-spaces are nerves of ribbon braided monoidal categories. We compute the rational homology of fD_n. Koszul duality for semidirect product operads of chain complexes is defined and applied to compute the double loop space homology as BV-algebra.",
author = "Paolo Salvatore and Nathalie Wahl",
note = "Keywords: math.AT; math.QA; 55P48; 18D10",
year = "2003",
language = "English",
volume = "54",
pages = "213--231",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",

}

RIS

TY - JOUR

T1 - Framed discs operads and Batalin-Vilkovisky algebras

AU - Salvatore, Paolo

AU - Wahl, Nathalie

N1 - Keywords: math.AT; math.QA; 55P48; 18D10

PY - 2003

Y1 - 2003

N2 - The framed n-discs operad fD_n is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on by fD_n is equivalent to the n-fold loop space on a SO(n)-space. Examples of fD_2-spaces are nerves of ribbon braided monoidal categories. We compute the rational homology of fD_n. Koszul duality for semidirect product operads of chain complexes is defined and applied to compute the double loop space homology as BV-algebra.

AB - The framed n-discs operad fD_n is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on by fD_n is equivalent to the n-fold loop space on a SO(n)-space. Examples of fD_2-spaces are nerves of ribbon braided monoidal categories. We compute the rational homology of fD_n. Koszul duality for semidirect product operads of chain complexes is defined and applied to compute the double loop space homology as BV-algebra.

M3 - Journal article

VL - 54

SP - 213

EP - 231

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

SN - 0033-5606

ER -

ID: 9396708