Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil

E Farber, B Reinoso, L Wang - ar**-classes-coming-from-the-simplest-hyperbolic-braid/10.2140/agt.2010.10.2041.pdf" data-clk="hl=id&sa=T&oi=gga&ct=gga&cd=3&d=11160004563346876&ei=qzWxZ7DMBaq0ieoPv5agmAs" data-clk-atid="vKWwC_elJwAJ" target="_blank">[PDF] projecteuclid.org

Small dilatation map** classes coming from the simplest hyperbolic braid

E Hironaka - Algebraic & Geometric Topology, 2010 - msp.org
In this paper we study the small dilatation pseudo-Anosov map** classes arising from
fibrations over the circle of a single 3–manifold, the map** torus for the “simplest …

Closed surface bundles of least volume

JW Aaber, N Dunfield - Algebraic & Geometric Topology, 2010 - msp.org
Since the set of volumes of hyperbolic 3–manifolds is well ordered, for each fixed g there is a
genus–g surface bundle over the circle of minimal volume. Here, we introduce an explicit …

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 …

Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds

B Farb, CJ Leininger, D Margalit - Advances in Mathematics, 2011 - Elsevier
The main result of this paper is a universal finiteness theorem for the set of all small
dilatation pseudo-Anosov homeomorphisms ϕ: S→ S, ranging over all surfaces S. More …

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 …

Pseudo-Anosov map** classes not arising from Penner's construction

H Shin, B Strenner - Geometry & Topology, 2016 - msp.org
We show that Galois conjugates of stretch factors of pseudo-Anosov map** classes
arising from Penner's construction lie off the unit circle. As a consequence, we show that, for …

Normal generators for map** class groups are abundant

J Lanier, D Margalit - ar** class group of a closed surface
to have normal closure equal to the whole map** class group. We apply this to show that …