Orientable maps and polynomial invariants of free-by-cyclic groups

Geometry & Topology
Event time: 
Tuesday, March 28, 2023 - 4:15pm
LOM 206
Samuel Taylor
Speaker affiliation: 
Temple University
Event description: 

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.