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Results tagged with reference-request
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user 36934
This tag is used if a reference is needed in a paper or textbook on a specific result.
2
votes
0
answers
94
views
Classes of knots that have known Bridge spectra
Bridge spectra is a knot invariant first defined by Doll, who established some basic properties. Tomova has shown that high distance knots have bridge spectra $(n,n-1,\ldots,2,1,0)$. Zupan has comput …
- 313
6
votes
1
answer
315
views
Tunnel number of Pretzel knots
I would like to know the tunnel number of $n$-pretzel knots. I have searched and found nothing for any $n>3$. When $n=2$, $t(K)=1$ or $2$ depending on the number of twists, which is proved in a pape …
- 313
1
vote
1
answer
176
views
Essential surfaces in the Exterior of Montesinos knots
Hatcher and Oertel computed the boundary slopes of essential surfaces of Montesinos knots in this paper. But they do not consider surfaces that do not intersect the boundary of the exterior. An esse …
- 313
4
votes
3
answers
857
views
Gauss Codes that produce classical knots as opposed to virtual knots
I have been doing some research in Gauss codes and have been reading Kauffman's paper Virtual Knot Theory. In section 3.3, Theorem 2, he states that
If $K$ is a virtual knot whose underlying Gauss c …
- 313