Abstract

In this paper, we construct infinite families of knots in <TEX>$S^3$</TEX> 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 <TEX>$a{\geq}3$</TEX> and <TEX>$b,c,d{\geq}2$</TEX>, there are knots in <TEX>$S^3$</TEX> 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.

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