arXiv Analytics

Sign in

arXiv:math/0505114 [math.GT]AbstractReferencesReviewsResources

Shadows of mapping class groups: capturing convex cocompactness

Richard P. Kent IV, Christopher J. Leininger

Published 2005-05-06, updated 2007-02-01Version 3

We strengthen the analogy between convex co-compact Kleinian groups and convex co-compact subgroups of the mapping class group of a surface (in the sense of B. Farb and L. Mosher).

Comments: v3. Final version accepted for publication. Minor revisions, updated references. v2. Theorems 3.9 and 3.10 strengthened, proof of Theorem 5.4 shortened, and questions in Section 8 modified. References to Brock--Farb, Duchin, and Hamenstadt added
Categories: math.GT, math.GR
Subjects: 20F65, 30F60, 57M07, 57M50
Related articles: Most relevant | Search more
arXiv:math/0702034 [math.GT] (Published 2007-02-01)
Subgroups of the mapping class group from the geometrical viewpoint
arXiv:1202.6442 [math.GT] (Published 2012-02-29, updated 2014-03-05)
On visualization of the linearity problem for mapping class groups of surfaces
arXiv:math/0307039 [math.GT] (Published 2003-07-02, updated 2004-02-19)
Every mapping class group is generated by 6 involutions