arXiv Analytics

Sign in

arXiv:math/0607509 [math.GT]AbstractReferencesReviewsResources

Cannon-Thurston Maps for Surface Groups

Mahan Mj

Published 2006-07-20, updated 2013-04-28Version 5

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.

Comments: v3: Completely rewritten following referee's comments, combining the main result of arxiv:math.GT/0512539 with the first part of the earlier version. Second part incorporated in 1002.0996, v4: 55 pages, 5 figures. Many expository changes following referee's comments v5: Final version 66 pgs, 7 figures. To appear in Annals of Math
Journal: Ann. of Math. 179 (1), pages 1-80, 2014
Categories: math.GT
Subjects: 57M50, 20F67, 20F65, 22E40
Related articles: Most relevant | Search more
arXiv:1002.0996 [math.GT] (Published 2010-02-04, updated 2017-04-20)
Cannon-Thurston Maps for Kleinian Groups
arXiv:1712.00760 [math.GT] (Published 2017-12-03)
Cannon-Thurston Maps
arXiv:1810.13285 [math.GT] (Published 2018-10-31)
Cannon--Thurston maps for CAT(0) groups with isolated flats

Links

Toolbox