3 papers
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.GT2025
Heegaard Floer theory and pseudo-Anosov flows II: Differential and Fried pants
Antonio Alfieri, Chi Cheuk Tsang
In earlier work, relying on work of Agol-Guéritaud and Landry-Minsky-Taylor, we showed that given a pseudo-Anosov flow and a collection of closed orbits sat…
math.GT2025
Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function
Antonio Alfieri, Chi Cheuk Tsang
We bring to light a new connection between dynamics and Heegaard Floer homology. On a closed 3-manifold we consider a pseudo-Anosov flow with no perfect fits with respect…