Revisions to Can two fibered knots have the same exterior?

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edited Apr 13, 2017 at 12:58

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Suppose I have two distinct fibered knots in a homology sphere. Is it possible for them to have (orientation-preservingly) homeomorphic exteriors?

See Oriented knot complement conjecture for fibered knots Oriented knot complement conjecture for fibered knots for another version of this question.

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edited Feb 9, 2015 at 17:28

Sam Nead

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Suppose I have two distinct fibered knots in a homology sphere. Is it possible for them to have (orientation-preservingly) homeomorphic exteriors?

See Oriented knot complement conjecture for fibered knots for another version of this question.

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edited Feb 9, 2015 at 15:08

shestipalov

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Suppose I have two distinct fibered knots in a homology sphere. Is it possible for them to have (orientation-preservingly) homeomorphic exteriors? (Note that by distinct knots I mean knots with no orientation-preserving homeomorphism taking one to the other.)

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edited Feb 9, 2015 at 9:06

shestipalov

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asked Feb 8, 2015 at 10:38

shestipalov

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