- Abstract:
-
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifold yield a 3-manifold which is irreducible, atoroidal and not Seifert fibred, and which has infinite, word hyperbolic fundamental group. We establish an extension of the Thurston-Gromov $2\pi$ theorem by showing that if each filling slope has length more than six, then the resulting 3-manifold has all the above properties. We also give a combinatorial version of the $2\pi$ theorem which relates...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1007/s002220000047
-
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- Journal:
- INVENTIONES MATHEMATICAE
- Volume:
- 140
- Issue:
- 2
- Pages:
- 243-282
- Publication date:
- 1998-08-28
- DOI:
- EISSN:
-
1432-1297
- ISSN:
-
0020-9910
- URN:
-
uuid:06959ff8-79a5-41fe-bb4a-57b4541d7a34
- Source identifiers:
-
28485
- Local pid:
- pubs:28485
- Language:
- English
- Keywords:
- Copyright date:
- 1998
- Notes:
-
49 pages, 26 figures. To appear in Inventiones Mathematicae. Revised
version, incorporating referee's comments. Most changes are minor; the proof
of Theorem 4.7 has been corrected
Journal article
Word hyperbolic Dehn surgery
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