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Results tagged with knot-theory
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user 6325
Knot theory is dealing with embedding of curves in manifolds of dimension 3. A knot is a single circle embedded in the affine space of dimension 3 as a smooth curve not crossing itself. Many knot invariants are known and can be used to distinguish knots.
11
votes
How to tell if two or more knots are linked
The linking number does not tell if two knots are linked, see for example the Whitehead link: http://en.wikipedia.org/wiki/Whitehead_link
I think that the best algorithms for the unlink problem follo …
- 940
22
votes
Are there any very hard unknots?
I did not see any mention of this paper by Marc Lackenby, probably because the question is quite old :
Lackenby, Marc, A polynomial upper bound on Reidemeister moves, Ann. Math. (2) 182, No. 2, 491-56 …
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