English

Novikov-Betti numbers and the fundamental group

Algebraic Topology 2007-05-23 v1

Abstract

We prove that nonvanishing of the first Novikov-Betti number implies that the fundamental group contains a nonabelian free subgroup.

Keywords

Cite

@article{arxiv.math/0609004,
  title  = {Novikov-Betti numbers and the fundamental group},
  author = {Michael Farber and Dirk Schuetz},
  journal= {arXiv preprint arXiv:math/0609004},
  year   = {2007}
}