Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
| dc.creator | Eichhorn, Juergen | |
| dc.date | 2001-11-29 | |
| dc.date.accessioned | 2026-07-07T04:44:50Z | |
| dc.date.available | 2026-07-07T04:44:50Z | |
| dc.description | The set of Clifford bundles of bounded geometry over open manifolds can be endowed with a metrizable uniform structure. For one fixed bundle $E$ we define the generalized component $\gencomp (E)$ as the set of Clifford bundles $E'$ which have finite distance to $E$. If $D$, $D'$ are the associated generalized Dirac operators, we prove for the pair $(D,D')$ relative index theorems, define relative $ζ$-- and $η$--functions, relative determinants and in the case of $D=Δ$ relative analytic torsion. To define relative $ζ$-- and $η$--functions, we assume additionally that the essential spectrum of $D^2$ has a gap above zero. | |
| dc.identifier | https://arxiv.org/abs/math/0111301 | |
| dc.identifier | http://arxiv.org/abs/math/0111301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62757 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J05;58J20;58J28;58J35;58C40 | |
| dc.title | Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds | |
| dc.type | text |