Nearly Fuchsian surface subgroups of finite covolume Kleinian groups Article Swipe
Related Concepts
PSL
Kleinian group
Mathematics
Fuchsian group
Pure mathematics
Combinatorics
Jeremy Kahn
,
Alex Wright
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1215/00127094-2020-0049
· OA: W2892116176
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1215/00127094-2020-0049
· OA: W2892116176
Let Gamma < PSL_2(C) be discrete, cofinite volume, and noncocompact. We prove that for all K > 1, there is a subgroup H < Gamma that is K-quasiconformally conjugate to a discrete cocompact subgroup of PSL_2(R). Along with previous work of Kahn and Markovic, this proves that every finite covolume Kleinian group has a nearly Fuchsian surface subgroup.
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