Morse theory and higher torsion invariants II
Differential Geometry
2007-05-23 v1 K-Theory and Homology
Abstract
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 \tau(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 \tau(M/B;F) and the higher analytic torsion \Cal T(M/B;F). We also generalise the examples given in math.DG/0111222 .
Keywords
Cite
@article{arxiv.math/0305287,
title = {Morse theory and higher torsion invariants II},
author = {Sebastian Goette},
journal= {arXiv preprint arXiv:math/0305287},
year = {2007}
}
Comments
amstex (with pstricks), 77 pages. For minor updates, see http://www.mathematik.uni-regensburg.de/Goette/preprints/