Cyclic and finite surgeries on Montesinos knots

Abstract

We give a complete classification of the Dehn surgeries on Montesinos knots which yield manifolds with cyclic or finite fundamental groups.

9 pages, 2 figures. v2: corollary concerning arborescent knots and comments on the paper; arXiv:0807.1341 added. v3: proof of Proposition 3 corrected. v4: proof of Claim 2 improved

References in corpus (4)

• Knot Floer homology detects fibred knots
• Corrigendum to "Knot Floer homology detects fibred knots"
• Surgery obstructions from Khovanov homology
• Finite surgeries on three-tangle pretzel knots

Cited by in corpus (4)

• Surgery obstructions from Khovanov homology
• Finite surgeries on three-tangle pretzel knots
• A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation
• Nontrivial elements in a knot group which are trivialized by Dehn fillings