Roberts, D.Vozzo, R.2018-10-172018-10-172018Cahiers de Topologie et Geometrie Differentielle Categoriques, 2018; LIX(2):95-1411245-530Xhttp://hdl.handle.net/2440/115188Abstract published in French and English.Nous d´efinissons un groupo¨ıde de Fr´echet-Lie Map(S 1 ,X) d’anafoncteurs du cercle vers un groupo¨ıde de LieX. Ceci fournit une pr´esentation du Hom-champ Hom(S 1 ,X), o`u X est le champ diff´erentiable associ´e `a X. Nous appliquons cette construction au groupo¨ıde de Lie sous-jacent au ‘fibr´egerbe’ (= ”bundle gerbe”) d’une vari´et´e diff´erentiable M; le r´esultat est un fibr´e-gerbe au-dessus de l’espace des lacets LM de M. = We define a Fr´echet–Lie groupoid Map(S 1 ,X) of anafunctors from the circle into a Lie groupoid X. This provides a presentation of the Hom-stack Hom(S 1 ,X), where X is the differentiable stack associated to X. We apply this construction to the Lie groupoid underlying a bundle gerbe on a manifold M; the result is a bundle gerbe on the loop space LM of M.enFrom January 2018, on their 60th birthday, Cahiers will become an electronic free Open Access Journal (with no paid subscription nor Author Publishing Charge).Differentiable stacks; Lie groupoids; Hom-stacks; loop stacks; gerbes; bundle gerbesJournal article0030100113237388Roberts, D. [0000-0002-3478-0522]