Title of article :
(-2, 3, 7)-pretzel knot and Reebless foliation
Author/Authors :
Jun، نويسنده , , Jinha، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2004
Abstract :
We show that if p / q > 18 , p is odd, and p / q ≠ 37 / 2 , then ( p , q ) -Dehn surgery for the ( − 2 , 3 , 7 ) -pretzel knot produces a 3-manifold without Reebless foliation. We also show that the manifold obtained by ( p , q ) -Dehn surgery for the same knot does not contain any R -covered foliation when p / q > 10 and p is odd.
Keywords :
(-2, 3, 7)-pretzel knot , Essential lamination , Dehn surgery , Group action , R -covered foliation , Reebless foliation
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications