Timeline for Can two fibered knots have the same exterior?
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Feb 9, 2015 at 17:28 | history | edited | Sam Nead | CC BY-SA 3.0 |
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| Feb 9, 2015 at 15:08 | vote | accept | shestipalov | ||
| Feb 9, 2015 at 15:08 | history | edited | shestipalov | CC BY-SA 3.0 |
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| Feb 9, 2015 at 9:06 | history | edited | shestipalov | CC BY-SA 3.0 |
added 113 characters in body
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| Feb 8, 2015 at 23:24 | answer | added | Sam Nead | timeline score: 10 | |
| Feb 8, 2015 at 21:11 | comment | added | Sam Nead | I am certain that such examples exist. Pick a hyperbolic homology sphere $M$, chosen so that $M$ admits an orientation preserving involution $\phi$. (For example, generic elements of the genus two Torelli group will build such manifolds with Heegaard genus two.) Now, there is a classical result that all three-manifolds admit fibered knots. Pick a generic such knot $K \subset M$. Then $K$ and $\phi(K)$ are the desired knots. | |
| Feb 8, 2015 at 10:38 | history | asked | shestipalov | CC BY-SA 3.0 |