String topology for loop stacks

Kai Behrend; Grégory Ginot; Behrang Noohi; Ping Xu

doi:10.1016/j.crma.2006.10.006

String topology for loop stacks

Kai Behrend
, Grégory Ginot
, Behrang Noohi
, Ping Xu

University of British Columbia
University Paris 13
Max Planck Institut für Mathematik
Pennsylvania State University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra. Moreover, the shifted homology H_• (L X) = H_{• + d} (L X) admits a BV algebra structure. To cite this article: K. Behrend et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

langue originale	Anglais
Pages (de - à)	247-252
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	344
Numéro de publication	4
Les DOIs	https://doi.org/10.1016/j.crma.2006.10.006
état	Publié - 15 févr. 2007
Modification externe	Oui

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10.1016/j.crma.2006.10.006

Contient cette citation

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title = "String topology for loop stacks",

abstract = "We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra. Moreover, the shifted homology H• (L X) = H• + d (L X) admits a BV algebra structure. To cite this article: K. Behrend et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).",

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AU - Behrend, Kai

AU - Ginot, Grégory

AU - Noohi, Behrang

AU - Xu, Ping

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N2 - We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra. Moreover, the shifted homology H• (L X) = H• + d (L X) admits a BV algebra structure. To cite this article: K. Behrend et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

AB - We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra. Moreover, the shifted homology H• (L X) = H• + d (L X) admits a BV algebra structure. To cite this article: K. Behrend et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

U2 - 10.1016/j.crma.2006.10.006

DO - 10.1016/j.crma.2006.10.006

M3 - Article

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SN - 1631-073X

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SP - 247

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JO - Comptes Rendus Mathematique

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ER -

String topology for loop stacks

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