Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The bv algebra in string topology of classifying spaces   For almost any compact connected Lie group $G$ and any field $\mathbb{F}\_p$,
we compute the Batalin-Vilkoviskyalgebra $H^{*+\text{dim
}G}(LBG;\mathbb{F}\_p)$ on the loop cohomology of the classifying space
introduced byChataur and the second author.In particular, if $p$ is odd or
$p=0$, this Batalin-Vilkovisky algebra is isomorphicto the Hochschild
cohomology $HH^*(H\_*(G),H\_*(G))$. Over $\mathbb{F}\_2$, such isomorphism of
Batalin-Vilkovisky algebrasdoes not hold when $G=SO(3)$ or $G=G\_2$.

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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an