A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation

Yasuharu Nakae

doi:10.1142/s021821651250143x

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arXiv · 1208.5857

A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation

Yasuharu Nakae

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Abstract

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

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Yasuharu Nakae. 2012-11-27. A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation. https://doi.org/10.1142/s021821651250143x

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