Differential forms and the Wodzicki residue
| dc.creator | Ugalde, William J. | |
| dc.date | 2002-11-22 | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-07T04:53:13Z | |
| dc.date.available | 2026-07-07T04:53:13Z | |
| dc.description | For a pseudodifferential operator $S$ of order 0 acting on sections of a vector bundle $B$ on a compact manifold $M$ without boundary, we associate a differential form of order dimension of $M$ acting on $C^\infty(M)\times C^\infty(M)$. This differential form $Ω_{n,S}$ is given in terms of the Wodzicki 1-density $\wres([S,f][S,h])$. In the particular case of an even dimensional, compact, conformal manifold without boundary, we study this differential form for the case $(B,S)=(\cH,F)$, that is, the Fredholm module associated by A. Connes to the manifold $M.$ We give its explicit expression in the flat case and then we address the general case. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211361 | |
| dc.identifier | http://arxiv.org/abs/math/0211361 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65757 | |
| dc.subject | Differential Geometry | |
| dc.subject | Operator Algebras | |
| dc.subject | 53A30;46L87 | |
| dc.title | Differential forms and the Wodzicki residue | |
| dc.type | text |