Showing math.GTShow all
2 papers · 1 filter
math.GT2024
Quadratic-time computations for pseudo-Anosov mapping classes
Dan Margalit, Balázs Strenner, Samuel J. Taylor +1
We give a quadratic-time algorithm to compute the stretch factor and the invariant measured foliations for a pseudo-Anosov element of the mapping class group. As input, the algorit…
math.GT2023
Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem
James Belk, Dan Margalit, Rebecca R. Winarski
We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps f…