Morse theory and higher torsion invariants I
| dc.creator | Goette, Sebastian | |
| dc.date | 2001-11-20 | |
| dc.date | 2003-01-09 | |
| dc.date.accessioned | 2026-07-07T04:44:42Z | |
| dc.date.available | 2026-07-07T04:44:42Z | |
| dc.description | We compare the higher analytic torsion of Bismut and Lott of a fibre bundle p: M -> B equipped with a flat vector bundle F -> M and a fibre-wise Morse function h on M with a higher torsion T that is constructed in terms of a families Thom-Smale complex associated to h and F, thereby extending previous joint work with Bismut. Under additional conditions on F, the torsion T is related to Igusa's higher Franz-Reidemeister torsion. As an application, we use the higher analytic torsion to detect infinite families of smooth bundles p_i: M -> B with diffeomorphic fibres that are homeomorphic but not diffeomorphic as bundles. | |
| dc.description | 80 pages, AmSTeX, uses pstricks. v2: new abstract, more examples and applications. v3: 94 pages, major revision, submitted; Thm 0.2 and Sections 3.c, 5.d-5.f added | |
| dc.identifier | https://arxiv.org/abs/math/0111222 | |
| dc.identifier | http://arxiv.org/abs/math/0111222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62693 | |
| dc.subject | Differential Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 58J52; 57R22, 57Q10 | |
| dc.title | Morse theory and higher torsion invariants I | |
| dc.type | text |