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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.
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 …
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 …
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