3 papers
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.GR2024
Totally Symmetric Sets
Noah Caplinger, Dan Margalit
We survey the theory of totally symmetric sets, with applications to homomorphisms of symmetric groups, braid groups, linear groups, and mapping class groups.
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…