Chain flaring and $L^{2}$-torsion of free-by-cyclic groups

Matt Clay

Chain flaring and $L^{2}$-torsion of free-by-cyclic groups

Group Theory 2021-07-22 v1

Authors: Matt Clay

Abstract

We introduce a condition on the monodromy of a free-by-cyclic group, $G_\phi$ , called the chain flare condition, that implies that the $L^2$ -torsion, $\rho^{(2)}(G_\phi)$ , is non-zero. We conjecture that this condition holds whenever the monodromy is exponentially growing.

Keywords

free-by-cyclic group monodromy chain flare condition L2-torsion exponentially growing

Cite

@article{arxiv.2107.09775,
  title  = {Chain flaring and $L^{2}$-torsion of free-by-cyclic groups},
  author = {Matt Clay},
  journal= {arXiv preprint arXiv:2107.09775},
  year   = {2021}
}

Comments

35 pages, 9 figures

Related papers

View all related →