Homological shadows

Asaf Hadari (Yale)

Abstract: Given a free group $F_n$, a fully irreducible automorphism $f \in \aut$, and a generic element $x \in F_n$, the elements $f^k(x)$ converge in the appropriate sense to an object called an attracting lamination of $f$. We introduce a homological version of this convergence, which possesses a great deal of geometric structure. We will discuss connections of this object to 3-manifolds that fiber over the circle.