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math.GR2025
A "cubist" decomposition of the Handel-Mosher axis bundle
Catherine Eva Pfaff, Chi Cheuk Tsang
We show that the axis bundle of a nongeometric fully irreducible outer automorphism admits a canonical "cubist" decomposition into branched cubes that fit together with special com…
math.GR2025
Out() train track automata I: Proper full fold decompositions
Catherine Eva Pfaff
We describe train track automata for large classes of fully irreducible elements of Out(), and their associated geodesics in Culler-Vogtmann Outer Space.