Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications

I Agol, CC Tsang - arXiv preprint arXiv:2201.02706, 2022 - arxiv.org
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 …

Problems, questions, and conjectures about mapping class groups

D Margalit - Breadth in contemporary topology, 2019 - books.google.com
We discuss a number of open problems about mapping class groups of surfaces. In
particular, we discuss problems related to linearity, congruence subgroups, cohomology …

Normalized entropy versus volume for pseudo-Anosovs

S Kojima, G McShane - Geometry & Topology, 2018 - msp.org
Thanks to a recent result by Jean-Marc Schlenker, we establish an explicit linear inequality
between the normalized entropies of pseudo-Anosov automorphisms and the hyperbolic …

Endperiodic maps via pseudo-Anosov flows

MP Landry, YN Minsky, SJ Taylor - arXiv preprint arXiv:2304.10620, 2023 - arxiv.org
We show that every atoroidal endperiodic map of an infinite-type surface can be obtained
from a depth one foliation in a fibered hyperbolic 3-manifold, reversing a well-known …

Entropy and the clique polynomial

CT McMullen - Journal of Topology, 2015 - academic.oup.com
This paper gives a sharp lower bound on the spectral radius of a reciprocal Perron–
Frobenius matrix, and shows in particular that. This bound supports conjectures on the …

Fibered faces, veering triangulations, and the arc complex

YN Minsky, SJ Taylor - Geometric and Functional Analysis, 2017 - Springer
We study the connections between subsurface projections in curve and arc complexes in
fibered 3-manifolds and Agol's veering triangulation. The main theme is that large-distance …

Dynamics on free-by-cyclic groups

S Dowdall, I Kapovich, CJ Leininger - Geometry & Topology, 2015 - msp.org
Given a free-by-cyclic group G= FN⋊ φ ℤ determined by any outer automorphism φ∈ Out
(FN) which is represented by an expanding irreducible train-track map f, we construct a K (G …

Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds

J Brock, K Bromberg - arXiv preprint arXiv:1412.0733, 2014 - arxiv.org
A recent preprint of S. Kojima and G. McShane [KM] observes a beautiful explicit connection
between Teichm\" uller translation distance and hyperbolic volume. It relies on a key …

Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior

E Kin, M Takasawa - Journal of the Mathematical Society of Japan, 2013 - jstage.jst.go.jp
We denote by δg (resp. δ+ g), the minimal dilatation for pseudo-Anosovs (resp. pseudo-
Anosovs with orientable invariant foliations) on a closed surface of genus g. This paper …

Normal generators for mapping class groups are abundant

J Lanier, D Margalit - arXiv preprint arXiv:1805.03666, 2018 - arxiv.org
We provide a simple criterion for an element of the mapping class group of a closed surface
to have normal closure equal to the whole mapping class group. We apply this to show that …