Morse theory and higher torsion invariants II
| dc.creator | Goette, Sebastian | |
| dc.date | 2003-05-20 | |
| dc.date.accessioned | 2026-07-07T04:58:08Z | |
| dc.date.available | 2026-07-07T04:58:08Z | |
| dc.description | Let p: M -> B be a family of compact manifolds equipped with a unitarily flat vector bundle F -> M. We generalize Igusa's higher Franz-Reidemeister torsion τ(M/B;F) to the case that the fibre-wise cohomology H^*(M/B;F) -> B carries a parallel metric. If moreover M admits a fibre-wise Morse function, we compute the difference of τ(M/B;F) and the higher analytic torsion \Cal T(M/B;F). We also generalise the examples given in math.DG/0111222 . | |
| dc.description | amstex (with pstricks), 77 pages. For minor updates, see http://www.mathematik.uni-regensburg.de/Goette/preprints/ | |
| dc.identifier | https://arxiv.org/abs/math/0305287 | |
| dc.identifier | http://arxiv.org/abs/math/0305287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67517 | |
| dc.subject | Differential Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 58J52; 57R22, 57Q10 | |
| dc.title | Morse theory and higher torsion invariants II | |
| dc.type | text |