Thin presentation of knots and lens spaces
نویسندگان
چکیده
منابع مشابه
And Knots in Lens Spaces
We determine the non-null homologous knots in lens spaces whose exteriors contain properly embedded once-punctured tori. All such knots arise as surgeries on the Whitehead link and are grid number 1 in their lens spaces. As a corollary, we classify once-punctured torus bundles that admit a lens space filling.
متن کامل6 Once - Punctured Tori and Knots in Lens Spaces
We determine the non-null homologous knots in lens spaces whose exteriors contain properly embedded once-punctured tori. All such knots arise as surgeries on the Whitehead link and are grid number 1 in their lens spaces.
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15 صفحه اولLens spaces obtainable by surgery on doubly primitive knots
Given a knot K in a 3–manifold, the following operation is called Dehn surgery on K : Remove an open regular neighborhood of K , and glue a solid torus back. Dehn surgeries on the trivial knot in the 3–sphere S give the well-known class of 3– manifolds, the so-called lens spaces. On the other hand, it is known that only restricted Dehn surgeries on nontrivial knots yield lens spaces. Such a non...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2003
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2003.3.677