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Results tagged with knot-theory
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user 8745
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.
4
votes
0
answers
1k
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ambient isotopy and isotopy on knot
this is elementary question about classical knot equivalence.
I know that just isotopy which need not to be ambient is not proper to define knot equivalence
because bachelor's unknotting.
but this …
- 481
5
votes
1
answer
272
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Is there a known Legendrian simple link?
Several knots like unknot, $4_1$, $3_1$ are known to be Legendrian simple, i.e., Thurston-Bennequin number and rotation number determine Legendrian type completely.
How about the same notion for link …
- 481
10
votes
1
answer
429
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A question about dimension of SL(2,C) character variety of knot group
It is known that if there isn't a closed essential surface in $S^3 \setminus K$, the dimension of $SL(2,\mathbb C)$ character variety is $1$. (In fact, it holds for a general 3-manifold, not only for …
- 481