Cannon-Thurston Maps for Surface Groups
By Mahan Mj. 2006
70 citations recorded by the source corpus.
We prove the existence of Cannon-Thurston maps for simply and doubly degenerate surface Kleinian groups. As a consequence we prove that connected limit sets of finitely generated Kleinian groups are locally connected.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9af0b8283bff669f2711b1b4039fc14f3f0e9685
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Pranab Sardar
- Michael Kapovich
- Cornelia Drutu
- Mahan Mj
- Alessandro Sisto
- B. Leeb
- J. Porti
- V. Gerasimov
In Geometry and Topology
- Cornelia Drutu
- Pranab Sardar
- Mahan Mj
- Michael Kapovich
- Alessandro Sisto
- J. Porti
- B. Leeb
- Anna Wienhard
In Mathematical Physics
- Pranab Sardar
- Michael Kapovich
- Cornelia Drutu
- Mahan Mj
- Alessandro Sisto
- Anna Wienhard
- D. Groves
- Jason A. Behrstock
Citations in the corpus
- Geometric Group Theory (2018, background): “…of Geometric Group Theory to higher dimensional and coarse topology [Yu00, MY02, BLW10, BL12], the theory of Kleinian groups [Min10, BCM12, Mj14b, Mj14a], quasiconformal analysis on boundaries of hyperbolic groups and Cannon Conjecture [BK02a, BK05, Bon11, BK13, Mar13, Haï15], the theory…”
- A Combination Theorem for Metric Bundles (2009, methodology): “When the collection H = {Hα} is not necessarily separated, a slightly modified description is given in [Mj06] and [MR08], where we attach a metric product Hα × [0, 1] to X , identifying Hα × {0} with Hα ⊂ X for each Hα ∈ H, and equip each Hα × {1} with the zero metric.”