Torsions for manifolds with boundary and glueing formulas
| dc.creator | Burghelea, D. | |
| dc.creator | Friedlander, L. | |
| dc.creator | Kappeler, T. | |
| dc.date | 1995-10-31 | |
| dc.date.accessioned | 2026-07-07T09:12:37Z | |
| dc.date.available | 2026-07-07T09:12:37Z | |
| dc.description | We extend the definition of analytic and Reidemeister torsion from closed compact Riemannian manifolds to compact Riemannian manifolds with boundary $(M, \partial M)$, given a flat bundle $\Cal F$ of $\Cal A$-Hilbert modules of finite type and a decomposition of the boundary $\partial M =\partial_- M \cup \partial_+ M$ into disjoint components. In particular we extend the $L-2$ analytic and Reidemeister torsions to compact manifolds with boundary. If the system $(M,\partial_-M, \partial_+M, \Cal F)$ is of determinant class we compute the quotient of the analytic and the Reidemeister torsion and prove glueing formulas for both of them. In particular we answer positively Conjecture 7.6 in [LL] | |
| dc.description | 58 pages, amstex | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9510010 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9510010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152081 | |
| dc.subject | Differential Geometry | |
| dc.title | Torsions for manifolds with boundary and glueing formulas | |
| dc.type | text |