The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
@article{TSG_2009-2010__28__63_0, author = {Mahan Mj}, title = {Cannon-Thurston {Maps,} i-bounded {Geometry} and a {Theorem} of {McMullen}}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {63--107}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {28}, year = {2009-2010}, doi = {10.5802/tsg.279}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.279/} }
TY - JOUR AU - Mahan Mj TI - Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen JO - Séminaire de théorie spectrale et géométrie PY - 2009-2010 SP - 63 EP - 107 VL - 28 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.279/ DO - 10.5802/tsg.279 LA - en ID - TSG_2009-2010__28__63_0 ER -
%0 Journal Article %A Mahan Mj %T Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen %J Séminaire de théorie spectrale et géométrie %D 2009-2010 %P 63-107 %V 28 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.279/ %R 10.5802/tsg.279 %G en %F TSG_2009-2010__28__63_0
Mahan Mj. Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen. Séminaire de théorie spectrale et géométrie, Volume 28 (2009-2010), pp. 63-107. doi : 10.5802/tsg.279. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.279/
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