Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Gap distributions and homogeneous dynamics
- 2 Topology of open nonpositively curved manifolds
- 3 Cohomologie et actions isométriques propres sur les espaces Lp
- 4 Compact Clifford–Klein Forms – Geometry, Topology and Dynamics
- 5 A survey on noncompact harmonic and asymptotically harmonic manifolds
- 6 The Atiyah conjecture
- 7 Cannon-Thurston Maps for Surface Groups: An Exposition of Amalgamation Geometry and Split Geometry
- 8 Counting visible circles on the sphere and Kleinian groups
- 9 Counting arcs in negative curvature
- 10 Lattices in hyperbolic buildings
- References
7 - Cannon-Thurston Maps for Surface Groups: An Exposition of Amalgamation Geometry and Split Geometry
Published online by Cambridge University Press: 05 January 2016
By
Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Gap distributions and homogeneous dynamics
- 2 Topology of open nonpositively curved manifolds
- 3 Cohomologie et actions isométriques propres sur les espaces Lp
- 4 Compact Clifford–Klein Forms – Geometry, Topology and Dynamics
- 5 A survey on noncompact harmonic and asymptotically harmonic manifolds
- 6 The Atiyah conjecture
- 7 Cannon-Thurston Maps for Surface Groups: An Exposition of Amalgamation Geometry and Split Geometry
- 8 Counting visible circles on the sphere and Kleinian groups
- 9 Counting arcs in negative curvature
- 10 Lattices in hyperbolic buildings
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Geometry, Topology, and Dynamics in Negative Curvature , pp. 221 - 271Publisher: Cambridge University PressPrint publication year: 2016
References
[Abi76] . Two theorems on totally degenerate Kleinian groups. American Journal of Mathematics, Vol. 98, No. 1 (Spring, 1976), pages 109–118, 1976.Google Scholar
[BCM12] , , and . The Classification of Kleinian surface groups II: The Ending Lamination Conjecture. Ann. of Math. 176 (1), pages 1–149, 2012.Google Scholar
[Bes04] . Geometric group theory problem list. M. Bestvina's home page: http:math.utah.edu/bestvina, 2004.
[Bow02] . Stacks of hyperbolic spaces and ends of 3 manifolds. preprint, Southampton, 2002.
[Bow05a] . End invariants of hyperbolic manifolds. preprint, Southampton, 2005.
[Bow05b] . Model geometries for hyperbolic manifolds. preprint, Southampton, 2005.
[Bow07] . The Cannon-Thurston map for punctured-surface groups. Mathematische Zeitschrift, vol. 255, no. 1, pages 35–76, 2007.Google Scholar
[CDA90] , , and . Geometrie et theorie des groupes. Lecture Notes in Math., vol.1441, Springer Verlag, 1990.Google Scholar
[CT85] and . Group Invariant Peano Curves. preprint, Princeton, 1985.
[CT07] and . Group Invariant Peano Curves. Geometry and Topology vol 11, pages 1315–1356, 2007.Google Scholar
[DM10] and . Semiconjugacies Between Relatively Hyperbolic Boundaries. arXiv:1007.2547, 2010.
[Flo80] . Group Completions and Limit Sets of Kleinian Groups. Invent. Math. vol.57, pages 205–218, 1980.Google Scholar
[GdlH90] and (eds.). Sur les groupes hyperboliques d'apres Mikhael Gromov. Progress in Math. vol 83, Birkhauser, Boston Ma., 1990.
[Gro85] . Hyperbolic Groups. in Essays in Group Theory, ed. , MSRI Publ., vol.8, Springer Verlag, pages 75–263, 1985.Google Scholar
[Gro93] . Asymptotic Invariants of Infinite Groups. in Geometric Group Theory, vol.2; Lond. Math. Soc. Lecture Notes 182, Cambridge University Press, 1993.Google Scholar
[HY61] and . Topology. Addison Wesley, 1961.
[Kla99] . Semiconjugacies between Kleinian group actions on the Riemann sphere. Amer. J. Math 121, pages 1031–1078, 1999.Google Scholar
[McM01] . Local connectivity, Kleinian groups and geodesics on the blow-up of the torus. Invent. math., 97:95–127, 2001.Google Scholar
[Min94] . On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds. Jour. Amer. Math. Soc. 7, pages 539–588, 1994.Google Scholar
[Min99] . The Classification of Punctured Torus Groups. Ann. of Math. 149, pages 559–626, 1999.Google Scholar
[Min10] . The Classification of Kleinian surface groups I: Models and bounds. Ann. of Math. 171 (1), pages 1–107, 2010.Google Scholar
[Mit97] . Maps on boundaries of hyperbolic metric spaces. PhD Thesis, U.C. Berkeley, 1997.
[Mit98a] . Cannon-Thurston Maps for Hyperbolic Group Extensions. Topology 37, pages 527–538, 1998.Google Scholar
[Mit98b] . Cannon-Thurston Maps for Trees of Hyperbolic Metric Spaces. Jour. Diff. Geom. 48, pages 135–164, 1998.Google Scholar
[Mj05] . Cannon-Thurston Maps for Surface Groups I: Amalgamation Geometry and Split Geometry. preprint, arXiv:math.GT/0512539 v5, 2005.
[Mj09] . Cannon-Thurston Maps for Pared Manifolds of Bounded Geometry. Geom. Topol. 13, pages 189–245, 2009.Google Scholar
[Mj10a] . Cannon-Thurston Maps and Bounded Geometry. in Teichmuller Theory and Moduli Problems, Proceedings of Workshop at HRI, Allahabad, Ramanujan Mathematical Society Lecture Notes Series Number 10, arXiv:math.GT/0603729, pages 489–511, 2010.Google Scholar
[Mj10b] . Cannon-Thurston Maps for Kleinian Groups. preprint, arXiv:math 1002.0996, 2010.
[Mj11] . Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen. Actes du séminaire Théorie spectrale et géométrie 28, Année 2009-10, arXiv:math.GT/0511104, pages 63–108, 2011.Google Scholar
[Mj14a] . Cannon-Thurston Maps for Surface Groups. Ann. of Math. 179 (1), pages 1–80, 2014.Google Scholar
[Mj14b] . Ending Laminations and Cannon-Thurston Maps, with an appendix by S. Das and M. Mj. to appear in Geom. Funct. Anal., 2014.
[MP11] and . Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps. Geom. Dedicata 151, arXiv:0708.3578, pages 59–78, 2011.Google Scholar
- 2
- Cited by