KNOTS IN S³ ADMITTING GRAPH MANIFOLD DEHN SURGERIES
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초록
In this paper, we construct infinite families of knots in S 3 which admit Dehn surgery producing a graph manifold which consists of two Seifert-fibered spaces over the disk with two exceptional fibers, glued together along their boundaries. In particular, we show that for any natural numbers a,b,c, and d with a ≥ 3 and b,c,d ≥ 2, there are knots in S 3 admitting a graph manifold Dehn surgery consisting of two Seifert-fibered spaces over the disk with two exceptional fibers of indexes a, b, and c, d, respectively.
Abstract
In this paper, we construct infinite families of knots in S 3 which admit Dehn surgery producing a graph manifold which consists of two Seifert-fibered spaces over the disk with two exceptional fibers, glued together along their boundaries. In particular, we show that for any natural numbers a,b,c, and d with a ≥ 3 and b,c,d ≥ 2, there are knots in S 3 admitting a graph manifold Dehn surgery consisting of two Seifert-fibered spaces over the disk with two exceptional fibers of indexes a, b, and c, d, respectively.
참고문헌 (12)
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