Lens spaces obtainable by surgery on doubly primitive knots
نویسندگان
چکیده
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 nontrivial example was found by Fintushel and Stern in [5], and since then, these surgeries have been widely studied.
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تاریخ انتشار 2007