Incompressible punctured tori in the complements of alternating knots

DOI10.1007/BF01446618zbMath0817.57013MaRDI QIDQ1345932

Robert M. Patton

Publication date: 31 July 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165280

zbMATH Keywords

2-bridge knotsalternating knotspretzel knotscontinued fraction expansion of length twoincompressible, boundary incompressible, punctured torusSeifert-fibred spaces

Mathematics Subject Classification ID

Related Items (6)

On L-spaces and left-orderable fundamental groups ⋮ Toroidal surgeries on hyperbolic knots ⋮ Taut foliations, left-orderability, and cyclic branched covers ⋮ Toroidal Seifert fibered surgeries on alternating knots ⋮ All exceptional surgeries on alternating knots are integral surgeries ⋮ DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• The classification of alternating links
• Incompressible surfaces in 2-bridge knot complements
• Boundary slopes for Montesinos knots
• Unnamed Item

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