Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Tsang, Chi Cheuk"'
Autor:
Tsang, Chi Cheuk, Zeng, Xiangzhuo
We determine the minimum dilatation $\delta_n$ among pseudo-Anosov braids with $n$ strands, for large enough values of $n$. This confirms a conjecture of Venzke that $\lim_{n \to \infty} \delta_n^n = (2+\sqrt{3})^2 \approx 13.928$. Together with prev
Externí odkaz:
http://arxiv.org/abs/2412.01648
We show that the stretch factor $\lambda(f)$ of an orientation-reversing fully-punctured pseudo-Anosov map $f$ on a finite-type orientable surface $S$, with $-\chi(S) \geq 4$ and having at least two puncture orbits, satisfies the inequality $\lambda(
Externí odkaz:
http://arxiv.org/abs/2402.15369
Autor:
Tsang, Chi Cheuk
We show that a transitive Anosov flow with orientable stable and unstable foliations that either (i) admits a Birkhoff section whose first return map is a Penner type pseudo-Anosov map, or (ii) is totally periodic admits a genus one Birkhoff section.
Externí odkaz:
http://arxiv.org/abs/2402.00229
Autor:
Tsang, Chi Cheuk
We provide an exposition of a `horizontal' generalization of Goodman's surgery operation on (pseudo-)Anosov flows. This operation is performed by cutting along a specific kind of annulus that is transverse to the flow and regluing with a Dehn twist o
Externí odkaz:
http://arxiv.org/abs/2401.01847
Autor:
Tsang, Chi Cheuk
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 mapping torus has only one boundary component, we employ various techniques
Externí odkaz:
http://arxiv.org/abs/2306.10245
Autor:
Landry, Michael P., Tsang, Chi Cheuk
We strengthen the unpublished theorem of Gabai and Mosher that every depth one sutured manifold contains a very full dynamic branched surface by showing that the branched surface can be chosen to satisfy an additional property we call veering. To thi
Externí odkaz:
http://arxiv.org/abs/2304.14481
Autor:
Hironaka, Eriko, Tsang, Chi Cheuk
We show that given a fully-punctured pseudo-Anosov map $f:S \to S$ whose punctures lie in at least two orbits under the action of $f$, the expansion factor $\lambda(f)$ satisfies the inequality $\lambda(f)^{|\chi(S)|} \ge \mu^4 \approx 6.85408$, wher
Externí odkaz:
http://arxiv.org/abs/2210.13418
Autor:
Tsang, Chi Cheuk
Publikováno v:
Ergod. Th. Dynam. Sys. 44 (2024) 2308-2360
We introduce a new method of constructing Birkhoff sections for pseudo-Anosov flows, which uses the connection between pseudo-Anosov flows and veering triangulations. This method allows for explicit constructions, as well as control over the Birkhoff
Externí odkaz:
http://arxiv.org/abs/2206.09586
Autor:
Tsang, Chi Cheuk
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 provide explicit constructions of some veering branched surfaces whose dua
Externí odkaz:
http://arxiv.org/abs/2203.02874
Autor:
Agol, Ian, Tsang, Chi Cheuk
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 3401-3453
We study the strongly connected components of the flow graph associated to a veering triangulation, and show that the infinitesimal components must be of a certain form, which have to do with subsets of the triangulation which we call `walls'. We sho
Externí odkaz:
http://arxiv.org/abs/2201.02706