Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/115188
Type: | Journal article |
Title: | Smooth loop stacks of differentiable stacks and gerbes |
Author: | Roberts, D. Vozzo, R. |
Citation: | Cahiers de Topologie et Geometrie Differentielle Categoriques, 2018; LIX(2):95-141 |
Issue Date: | 2018 |
ISSN: | 1245-530X |
Statement of Responsibility: | David Michael Roberts and Raymond F. Vozzo |
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. |
Keywords: | Differentiable stacks; Lie groupoids; Hom-stacks; loop stacks; gerbes; bundle gerbes |
Description: | Abstract published in French and English. |
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). |
Published version: | http://cahierstgdc.com/index.php/volume-lix-2018/#2 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.