Orientable maps and polynomial invariants of free-by-cyclic groups
Group Theory
2023-01-24 v2 Geometric Topology
Abstract
We relate the McMullen polynomial of a free-by-cyclic group to its Alexander polynomial. To do so, we introduce the notion of an orientable fully irreducible outer automorphism and use it to characterize when the homological stretch factor of is equal to its geometric stretch factor.
Keywords
Cite
@article{arxiv.2203.12134,
title = {Orientable maps and polynomial invariants of free-by-cyclic groups},
author = {Spencer Dowdall and Radhika Gupta and Samuel J. Taylor},
journal= {arXiv preprint arXiv:2203.12134},
year = {2023}
}
Comments
v2: 36 pages, 5 figures. Minor changes incorporating referee comments. Final version, to appear in Advances in Mathematics