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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