2 papers
math.GT2026
Counting mapping classes by Nielsen-Thurston type
Spencer Dowdall, Howard Masur
This paper concerns the lattice counting problem for the mapping class group of a surface acting on Teichmüller space with the Teichmüller metric. In that problem the goal is…
math.GR2026
Depth of free-by-cyclic groups
Spencer Dowdall, Yassine Guerch, Radhika Gupta +2
For a free group automorphism, we prove that its poset of attracting lamination orbits is a canonical invariant of the associated mapping torus. That is, if a free-by-cyclic group…