Radhika Gupta
TIFR, Mumbai
October 20, 2022
Stretch factors of graph maps and polynomial invariants of free-by-cyclic groups: In this talk we will associate two numbers, the geometric and homological stretch factors, to a graph map and see under what conditions they are equal. We will then upgrade these notions to free group automorphisms. Finally, we will cast these numbers in terms of two polynomial invariants, the Alexander polynomial and McMullen polynomial, associated to a free-by-cyclic group and see how these polynomials are related to each other.
TIFR, Mumbai
October 20, 2022
Stretch factors of graph maps and polynomial invariants of free-by-cyclic groups: In this talk we will associate two numbers, the geometric and homological stretch factors, to a graph map and see under what conditions they are equal. We will then upgrade these notions to free group automorphisms. Finally, we will cast these numbers in terms of two polynomial invariants, the Alexander polynomial and McMullen polynomial, associated to a free-by-cyclic group and see how these polynomials are related to each other.