Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 22
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Brock, Jeffrey Minsky, Yair Namazi, Hossein and Souto, Juan 2016. Bounded combinatorics and uniform models for hyperbolic 3-manifolds. Journal of Topology, Vol. 9, Issue. 2, p. 451.

    Kim, Inkang Lecuire, Cyril and Ohshika, Ken’ichi 2016. Convergence of freely decomposable Kleinian groups. Inventiones mathematicae, Vol. 204, Issue. 1, p. 83.

    Ohshika, Ken’ichi and Sakuma, Makoto 2016. Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions. Geometriae Dedicata, Vol. 180, Issue. 1, p. 117.

    Hensel, Sebastian Osajda, Damian and Przytycki, Piotr 2014. Realisation and dismantlability. Geometry & Topology, Vol. 18, Issue. 4, p. 2079.

    Jeon, Woojin Kim, Inkang and Ohshika, Ken’ichi 2014. Primitive stable representations of free Kleinian groups. Israel Journal of Mathematics, Vol. 199, Issue. 2, p. 841.

    Lee, Michelle 2014. Dynamics on the PSL(2,ℂ)–character variety of a compression body. Algebraic & Geometric Topology, Vol. 14, Issue. 4, p. 2149.

    Lee, Michelle 2014. Dynamics on the PSL(2,ℂ)–character variety of a compression body. Algebraic & Geometric Topology, Vol. 14, Issue. 4, p. 2149.

    MA, JIMING 2014. Geometry of the augmented disk graph. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 156, Issue. 02, p. 363.

    Minsky, Yair N. 2013. On dynamics of Out(F n ) on PSL2(ℂ) characters. Israel Journal of Mathematics, Vol. 193, Issue. 1, p. 47.

    Charitos, Charalampos and Oertel, Ulrich 2012. Essential disks and semi-essential surfaces in 3-manifolds. Topology and its Applications, Vol. 159, Issue. 8, p. 2174.

    Namazi, Hossein and Souto, Juan 2009. Heegaard Splittings and Pseudo-Anosov Maps. Geometric and Functional Analysis, Vol. 19, Issue. 4, p. 1195.

    Kim, Inkang 2008. Divergent sequences of function groups. Differential Geometry and its Applications, Vol. 26, Issue. 6, p. 645.

    Leininger, Christopher J. and McReynolds, D.B. 2007. Separable subgroups of mapping class groups. Topology and its Applications, Vol. 154, Issue. 1, p. 1.

    Dunfield, Nathan M and Thurston, Dylan P 2006. A random tunnel number one 3–manifold does not fiber over the circle. Geometry & Topology, Vol. 10, Issue. 4, p. 2431.

    Easson, Vivien R 2006. Surface subgroups and handlebody attachment. Geometry & Topology, Vol. 10, Issue. 1, p. 557.

    Abrams, Aaron and Schleimer, Saul 2004. Distances of Heegaard splittings. Geometry & Topology, Vol. 9, Issue. 1, p. 95.

    Luo, Feng 2003. Heegaard diagrams and handlebody groups. Topology and its Applications, Vol. 129, Issue. 2, p. 111.

    Souto, Juan 2003. Hyperbolic cone-manifolds with large cone-angles. Geometry & Topology, Vol. 7, Issue. 2, p. 789.

    Lackenby, Marc 2002. Attaching handlebodies to 3–manifolds. Geometry & Topology, Vol. 6, Issue. 2, p. 889.

    Oertel, Ulrich 2002. Automorphisms of three-dimensional handlebodies. Topology, Vol. 41, Issue. 2, p. 363.

  • Ergodic Theory and Dynamical Systems, Volume 6, Issue 1
  • March 1986, pp. 99-116

Measured foliations and handlebodies

  • Howard Masur (a1)
  • DOI:
  • Published online: 01 September 2008

We consider the action of the subgroup of the mapping class group consisting of homeomorphisms that extend to the handlebody on Thurston's sphere of measured foliations. Properties of the limit set and domain of discontinuity are described and for genus two it is shown the limit set has measure zero.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[5]B. Maskit . Self-maps of Kleinian groups. Amer. J. Math 93 (1971), 840856.

[6]H. Masur . Interval exchange transformations and measured foliations. Annals of Math. 115 (1982), 169200.

[7]M. Rees . An alternative approach to the ergodic theory of measured foliations on surfaces. Ergod. Th. & Dynam. Sys. 1 (1981), 461485.

[10]W. Veech . Interval exchange transformations. J. D' Analyse Math 33 (1978), 222278.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
Please enter your name
Please enter a valid email address
Who would you like to send this to? *