Smooth loop stacks of differentiable stacks and gerbes
| dc.contributor.author | Roberts, D. | |
| dc.contributor.author | Vozzo, R. | |
| dc.date.issued | 2018 | |
| dc.description | Abstract published in French and English. | |
| dc.description.abstract | 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. | |
| dc.description.statementofresponsibility | David Michael Roberts and Raymond F. Vozzo | |
| dc.identifier.citation | Cahiers de Topologie et Geometrie Differentielle Categoriques, 2018; LIX(2):95-141 | |
| dc.identifier.issn | 1245-530X | |
| dc.identifier.orcid | Roberts, D. [0000-0002-3478-0522] | |
| dc.identifier.uri | http://hdl.handle.net/2440/115188 | |
| dc.language.iso | en | |
| dc.rights | From January 2018, on their 60th birthday, Cahiers will become an electronic free Open Access Journal (with no paid subscription nor Author Publishing Charge). | |
| dc.source.uri | http://cahierstgdc.com/index.php/volume-lix-2018/#2 | |
| dc.subject | Differentiable stacks; Lie groupoids; Hom-stacks; loop stacks; gerbes; bundle gerbes | |
| dc.title | Smooth loop stacks of differentiable stacks and gerbes | |
| dc.type | Journal article | |
| pubs.publication-status | Published |