2 citations · 4 across the 9 of their papers we have counts for
9 papers
Finiteness of veering triangulations
Thomas Barthelmé, Chi Cheuk Tsang, Jonathan Zung
We show that a finite volume cusped hyperbolic 3-manifold admits at most finitely many veering triangulations, and in fact this number is bounded above by the number of Giroux tors…
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 satis…
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 t…
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…
On the set of normalized dilatations of fully-punctured pseudo-Anosov maps
Chi Cheuk Tsang
We improve the bound on the number of tetrahedra in the veering triangulation of a fully-punctured pseudo-Anosov mapping torus in terms of the normalized dilatation. When the mappi…
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor
Eriko Hironaka, Chi Cheuk Tsang
We show that given a fully-punctured pseudo-Anosov map whose punctures lie in at least two orbits under the action of , the expansion factor satisfies the ine…
Veering branched surfaces, surgeries, and geodesic flows
Chi Cheuk Tsang
We introduce veering branched surfaces as a dual way of studying veering triangulations. We then discuss some surgical operations on veering branched surfaces. Using these, we prov…
The -cohomology on compact torsion-free manifolds and an application to 'almost' formality
Ki Fung Chan, Spiro Karigiannis, Chi Cheuk Tsang
We study a cohomology theory , called the -cohomology, on compact torsion-free -manifolds. We show that f…
Cohomologies on almost complex manifolds and the -lemma
Ki Fung Chan, Spiro Karigiannis, Chi Cheuk Tsang
We study cohomologies on an almost complex manifold , defined using the Nijenhuis-Lie derivations and induced from the almost complex struct…