Hess, E. and Schick, T.: L2-torsion of hyperbolic manifolds
Abstract:
The $L^2$-torsion is an invariant defined for compact $L^2$-acyclic
manifolds of determinant class, for example odd dimensional hyperbolic
manifolds. It was introduced by John Lott and Varghese Mathai
and computed for hyperbolic manifolds in low dimensions.par
In this paper we show that the
$L^2$-torsion of hyperbolic manifolds of arbitrary odd dimension does not vanish.
This was conjectured by John Lott.
Some concrete values are computed and an estimate of their growth with the
dimension is given.
Key words: $L^2$-torsion, hyperbolic manifolds\
AMS-classification number: 58G11 (primary) 58G26 (secondary)
Thomas Schick