Dehn surgery on knots in solid tori creating essential annuli

DOI10.1090/S0002-9947-97-01723-6zbMath0885.57001MaRDI QIDQ4372623

Chuichiro Hayashi, Kimihiko Motegi

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dehn surgerycabling conjectureScharlemann cycleSeifert fibred manifoldessential annulus

Mathematics Subject Classification ID

Related Items (6)

Networking Seifert Surgeries on Knots ⋮ Boundary slopes of punctured tori in 3-manifolds ⋮ Can Dehn surgery yield three connected summands? ⋮ Once-punctured Klein bottles in knot complements ⋮ REDUCIBLE DEHN SURGERY AND THE BRIDGE NUMBER OF A KNOT ⋮ A proof of the Scott-Wiegold conjecture on free products of cyclic groups

Cites Work

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• Knots are Determined by Their Complements
• Only single twists on unknots can produce composite knots
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• Symmetric knots satisfy the cabling conjecture

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