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

DOI10.2969/jmsj/06520411zbMath1270.57044arXiv1003.0545OpenAlexW2148561577MaRDI QIDQ2375995

Mitsuhiko Takasawa, Eiko Kin

Publication date: 26 June 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0545

zbMATH Keywords

entropydilatationmapping class groupfibered 3-manifoldpseudo-Anosov

Mathematics Subject Classification ID

Related Items (17)

Pseudo-Anosov stretch factors and homology of mapping tori ⋮ Remarks on the Liechti-Strenner's examples having small dilatations ⋮ 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 ⋮ Closed surface bundles of least volume ⋮ The taut polynomial and the Alexander polynomial ⋮ Computing the Teichmüller polynomial ⋮ Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy ⋮ Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor ⋮ Limits of sequences of pseudo-Anosov maps and of hyperbolic 3-manifolds ⋮ Minimal pseudo-Anosov stretch factors on nonoriented surfaces ⋮ Least dilatation of pure surface braids ⋮ On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus ⋮ On the minimum dilatation of braids on punctured discs ⋮ Entropy and the clique polynomial ⋮ Teichmüller polynomials of fibered alternating links ⋮ An algorithm to compute the Teichmüller polynomial from matrices

Cites Work

• Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior
• Pseudo-Anosov braids with small entropy and the magic 3-manifold
• On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus
• Small dilatation mapping classes coming from the simplest hyperbolic braid
• Closed surface bundles of least volume
• Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds
• A family of pseudo-Anosov braids with small dilatation
• Dehn filling of the ``magic 3-manifold
• Stretching factors of pseudo-Anosov homeomorphisms
• Flow equivalence, hyperbolic systems and a new zeta function for flows
• Expanding factors for pseudo-Anosov homeomorphisms
• Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations
• Ideal triangulations of pseudo-Anosov mapping tori
• The minimal volume orientable hyperbolic 2-cusped 3-manifolds
• The Minimal Dilatation of a Genus-Two Surface
• Entropy versus Volume for Pseudo-Anosovs
• ENTROPIES OF BRAIDS
• On the minimum of the dilatation of pseudo-Anosov diffeomorphisms of a pretzel
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