Delocalized $L^2$-Invariants
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We define extensions of the -analytic invariants of closed manifolds, called delocalized -invariants. These delocalized invariants are constructed in terms of a nontrivial conjugacy class of the fundamental group. We show that in many cases, they are topological in nature. We show that the marked length spectrum of an odd-dimensional hyperbolic manifold can be recovered from its delocalized -analytic torsion. There are technical convergence questions.
Cite
@article{arxiv.dg-ga/9612003,
title = {Delocalized $L^2$-Invariants},
author = {John Lott},
journal= {arXiv preprint arXiv:dg-ga/9612003},
year = {2008}
}
Comments
22 pages, AMS-Latex