Abstract

Let Ksbe a (-2, 3, 2s + 1)-type pretzel knot (s ≧ 3) and EKs(p/q) be a closed manifold obtained by Dehn surgery along Kswith a slope p/q. We prove that if q > 0, p/q ≧ 4s + 7 and p is odd, then EKs(p/q) cannot contain an ℝ-covered foliation. This result is an extended theorem of a part of works of Jun for (-2, 3, 7)-pretzel knot.

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