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Exceptional surgery curves in triangulated 3-manifolds

Abstract:

For the purposes of this paper, Dehn surgery along a curve K in a 3-manifold M with slope r is `exceptional' if the resulting 3-manifold M_K(r) is reducible or a solid torus, or the core of the surgery solid torus has finite order in the fundamental group of M_K(r). We show that, providing the exterior of K is irreducible and atoroidal, and the distance between r and the meridian slope is more than one, and a homology condition is satisfied, then there is (up to ambient isotopy) only a finite...

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Publication status:
Published

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Publisher copy:
10.2140/pjm.2003.210.101

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
PACIFIC JOURNAL OF MATHEMATICS
Volume:
210
Issue:
1
Pages:
101-163
Publication date:
1999-07-14
DOI:
ISSN:
0030-8730
Language:
English
Keywords:
Pubs id:
pubs:2255
UUID:
uuid:c72c60e6-57ff-4807-bb2b-94579767566e
Local pid:
pubs:2255
Source identifiers:
2255
Deposit date:
2012-12-19

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