Equivariant dixmier-douady classes
- Autores: Mathieu Stiénon
- Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 1, 2010, págs. 127-146
- Idioma: inglés
- DOI: 10.4310/mrl.2010.v17.n1.a10
- Enlaces
-
Resumen
An equivariant bundle gerbe \`a la Meinrenken over a $G$-manifold $M$ is known to be a special type of $S^1$-gerbe over the differentiable stack $[M/G]$. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe \`a la Meinrenken to the Behrend-Xu-Dixmier-Douady class of the corresponding $S^1$-gerbe.
¿Es nuevo? Regístrese
Ventajas de registrarse
