Twisting $L^2$-invariants with finite-dimensional representations
Geometric Topology
2017-03-28 v4
Abstract
We investigate how one can twist L^2-invariants such as L^2-Betti numbers and L^2-torsion with finite-dimensional representations. As a special case we assign to the universal covering of a finite connected CW-complex X together with an element phi in H^1(X;R) a phi-twisted L^2-torsion function from R^{>0} to R, provided that the fundamental group of X is residually finite and its universal covering is L^2-acyclic.
Cite
@article{arxiv.1510.00057,
title = {Twisting $L^2$-invariants with finite-dimensional representations},
author = {Wolfgang Lueck},
journal= {arXiv preprint arXiv:1510.00057},
year = {2017}
}
Comments
77 pages, final version, to appear in Journal of Topology and Analysis