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 F and use it to characterize when the homological stretch factor of F is equal to its geometric stretch factor.

This is joint work with Spencer Dowdall and Radhika Gupta.

This video is part of the New York Group Theory Cooperative‘s group theory seminar series.