THE BV ALGEBRA IN STRING TOPOLOGY OF CLASSIFYING SPACES
Résumé
For almost any compact connected Lie group $G$ and any field $\mathbb{F}_p$, we compute the Batalin-Vilkovisky
algebra $H^{*+\text{dim }G}(LBG;\mathbb{F}_p)$ on the loop cohomology of the classifying space introduced by
Chataur and the second author.
In particular, if $p$ is odd or $p=0$, this Batalin-Vilkovisky algebra is isomorphic
to the Hochschild cohomology $HH^*(H_*(G),H_*(G))$. Over $\mathbb{F}_2$, such isomorphism of Batalin-Vilkovisky algebras
does not hold when $G=SO(3)$ or $G=G_2$.
Origine | Fichiers produits par l'(les) auteur(s) |
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