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Dehn filling with non-degenerate boundary slope rows

โœ Scribed by Xingru Zhang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
136 KB
Volume
99
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

We prove that Dehn filling a small link exterior with a non-degenerate boundary slope row produces a 3-manifold which is either Haken and โˆ‚-irreducible or one of very restricted typies of reducible manifolds (Theorem 2), generalizing a result of Culler, Gordon, Luecke and Shalen in the case of a knot exterior (Theorem 1). The result provides some interesting applications on exceptional Dehn fillings (Corollaries 3 and 4) and on telling if a link is small (Corollaries 5 and 6).

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where C.. C, are positive constants. We substitute ul')=v+I:N"x. (!..) ~+ e' N",,f 1 ax" ax" ax,. for u in (6.1) and group the terms of the same order in I: (by analogy with /9, 10/). Recalling relations (6.5), (6.6), and also estimates (6.10), (6.11) and the a priori estimate for the solution of a