Abelian Extensions of the Group of Diffeomorphisms of a Torus
| dc.creator | Billig, Yuly | |
| dc.date | 2003-02-01 | |
| dc.date.accessioned | 2026-07-07T04:54:50Z | |
| dc.date.available | 2026-07-07T04:54:50Z | |
| dc.description | In this paper we construct abelian extensions of the group of diffeomorphisms of a torus. We consider the jacobian map, which is a crossed homomorphism from the group of diffeomorphisms into a toroidal gauge group. A pull-back under this map of a central 2-cocycle on a gauge group turns out to be an abelian cocycle on the group of diffeomorphisms. We show that in the case of a circle, the Virasoro-Bott cocycle is a pull-back of the Heisenberg cocycle. We also give an abelian generalization of the Virasoro-Bott cocycle to the case of a manifold with a volume form. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302007 | |
| dc.identifier | http://arxiv.org/abs/math/0302007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66417 | |
| dc.subject | Group Theory | |
| dc.subject | 22E65; 58B25; 81R10 | |
| dc.title | Abelian Extensions of the Group of Diffeomorphisms of a Torus | |
| dc.type | text |