Surgeries on one component of the Whitehead link are virtually fibered
نویسندگان
چکیده
منابع مشابه
Surgeries on one component of the Whitehead link are virtually fibered
In this paper we will show that every Dehn filling on one component of the boundary of the exterior of the Whitehead link is virtually fibered. As a corollary we produce what seem to be the first examples of knot exteriors in S3 which are virtually fibered but not fibered.
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We prove that all generalized Montesinos links in S which are not classic S̃L2 -type are virtually fibred except the trivial link of two components. We also prove the virtually fibred property for a family of infinitely many classic Montesinos links of type S̃L2 . As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.
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Using the mapping cone of a rational surgery, we give several obstructions for Seifert fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot. These generalize the corresponding results in [9][21].
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In this paper we determine topologically the canonical component of the SL2(C) character variety of the Whitehead link complement.
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We explore certain restrictions on knots in the three-sphere which admit non-trivial Seifert fibered surgeries. These restrictions stem from the Heegaard Floer homology (defined in [8]) for Seifert fibered spaces (compare [11]), and hence they have consequences for both the Alexander polynomial of such knots, and also their “knot Floer homology” (introduced in [10]). In particular, it is shown ...
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ژورنال
عنوان ژورنال: Topology
سال: 2002
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(00)00038-0