Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations

DOI10.1016/S0012-9593(00)00121-XzbMath1013.57010OpenAlexW2122847889MaRDI QIDQ2769909

Curtis T. McMullen

Publication date: 5 August 2002

Published in: Annales Scientifiques de l'à cole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_4_519_0

zbMATH Keywords

uniformizationTeichmüller theory3-manifolds fibering over the circlesurface laminations

Mathematics Subject Classification ID

Related Items (51)

POLYNOMIAL INVARIANTS OF PSEUDO-ANOSOV MAPS ⋮ Lengths spectrum of hyperelliptic components ⋮ Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior ⋮ A Survey of the Thurston Norm ⋮ The spectra of polynomial equations with varying exponents ⋮ Pseudo-Anosov stretch factors and homology of mapping tori ⋮ Mapping class group dynamics and the holonomy of branched affine structures ⋮ On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number ⋮ A family of pseudo-Anosov braids with small dilatation ⋮ Small dilatation mapping classes coming from the simplest hyperbolic braid ⋮ Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior ⋮ McMullen polynomials and Lipschitz flows for free-by-cyclic groups ⋮ Closed surface bundles of least volume ⋮ A transcendental invariant of pseudo-Anosov maps ⋮ Dynamics on free-by-cyclic groups ⋮ The taut polynomial and the Alexander polynomial ⋮ Computing the Teichmüller polynomial ⋮ Fibrations of 3-manifolds and asymptotic translation length in the arc complex ⋮ Fibered faces, veering triangulations, and the arc complex ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ Virtual homological spectral radius and mapping torus of pseudo-Anosov maps ⋮ A construction of pseudo-Anosov braids with small normalized entropies ⋮ Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy ⋮ Orientable maps and polynomial invariants of free-by-cyclic groups ⋮ Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor ⋮ Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds ⋮ Flows, growth rates, and the veering polynomial ⋮ A polynomial invariant for veering triangulations ⋮ Computation of the Taut, the Veering and the Teichmüller Polynomials ⋮ Surface automorphisms and finite covers ⋮ The growth rate of symplectic Floer homology ⋮ Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds ⋮ Weil-Petersson translation length and manifolds with many fibered fillings ⋮ Minimal pseudo-Anosov stretch factors on nonoriented surfaces ⋮ Entropy and the clique polynomial ⋮ Lehmer's Question, Knots and Surface Dynamics ⋮ Teichmüller polynomials of fibered alternating links ⋮ Random veering triangulations are not geometric ⋮ An algorithm to compute the Teichmüller polynomial from matrices ⋮ An upper bound on the asymptotic translation lengths on the curve graph and fibered faces ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ The asymptotic behavior of least pseudo-Anosov dilatations ⋮ A characterization of virtually embedded subsurfaces in $3$-manifolds ⋮ Veering triangulations and the Thurston norm: homology to isotopy ⋮ Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex ⋮ Pseudo-Anosov maps with small stretch factors on punctured surfaces ⋮ Tropical varieties for exponential sums ⋮ First-return maps of Birkhoff sections of the geodesic flow ⋮ Digraphs and cycle polynomials for free-by-cyclic groups ⋮ Book Review: Thurston’s work on surfaces ⋮ The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1

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