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• W2078380412 abstract "Let $G$ be a finite group or a compact connected Lie group and let $BG$ be its classifying space. Let $mathcal{L}BG:=map(S^1,BG)$ be the free loop space of $BG$ i.e. the space of continuous maps from the circle $S^1$ to $BG$. The purpose of this paper is to study the singular homology $H_*(mathcal LBG)$ of this loop space. We prove that when taken with coefficients in a field the homology of $mathcal LBG$ is a homological conformal field theory. As a byproduct of our main theorem, we get a Batalin-Vilkovisky algebra structure on the cohomology $H^*(mathcal LBG)$. We also prove an algebraic version of this result by showing that the Hochschild cohomology $HH^*(S_* (G),S_*(G))$ of the singular chains of $G$ is a Batalin-Vilkovisky algebra." @default.
• W2078380412 created "2016-06-24" @default.
• W2078380412 creator A5035674190 @default.
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• W2078380412 date "2007-12-31" @default.
• W2078380412 modified "2023-09-27" @default.
• W2078380412 title "String topology of classifying spaces" @default.
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