منابع مشابه
L-torsion of hyperbolic manifolds
The L-torsion is an invariant defined for compact L-acyclic manifolds of determinant class, for example odd dimensional hyperbolic manifolds. It was introduced by John Lott [Lot92] and Varghese Mathai [Mat92] and computed for hyperbolic manifolds in low dimensions. Our definition of the L-torsion coincides with that of John Lott, which is twice the logarithm of that of Varghese Mathai. In this ...
متن کاملL 2 - Torsion of Hyperbolic Manifolds of Finite Volume
Suppose M is a compact connected odd-dimensional manifold with boundary, whose interior M comes with a complete hyperbolic metric of finite volume. We will show that the L2-topological torsion of M and the L2-analytic torsion of the Riemannian manifold M are equal. In particular, the L2-topological torsion of M is proportional to the hyperbolic volume of M , with a constant of proportionality w...
متن کاملL-torsion of hyperbolic manifolds of finite volume
Suppose M is a compact connected odd-dimensional manifold with boundary, whose interior M comes with a complete hyperbolic metric of finite volume. We will show that the L2-topological torsion of M and the L2-analytic torsion of the Riemannian manifold M are equal. In particular, the L2-topological torsion of M is proportional to the hyperbolic volume of M , with a constant of proportionality w...
متن کامل“ L 2 - torsion and 3 - manifolds ” by Wolfgang Lück
We introduce for a finite CW -complex whose L2-Betti numbers are all trivial and whose Novikov-Shubin invariants are all positive a positive real number called combinatorial L2-torsion. It behaves like a “multiplicative Euler characteristic”. Tools for the computations of L2-Betti numbers, Novikov-Shubin invariants, Fuglede-Kadison determinant and combinatorial L2-torsion are given. For example...
متن کاملL-cohomology of Geometrically Infinite Hyperbolic 3-manifolds
We give results on the following questions about a topologically tame hyperbolic 3-manifold M : 1. Does M have nonzero L-harmonic 1-forms? 2. Does zero lie in the spectrum of the Laplacian acting on Λ(M)/Ker(d)?
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 1998
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s002290050105