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Results tagged with knot-theory
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user 104774
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.
9
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2
answers
410
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About the commutativity of the $1^\text{st}$ homotopy group of the space of knots
I would like to know if the fundamental group of the connected component of a knot space could be non commutative. I am specially interested in the case of $\mathbb{R}^3$, $\mathbb{S^3}$ or some other …
- 325
0
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0
answers
142
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Parametric Seifert surfaces for parametric families of knots in $\mathbb{R}^3$
Let $K_t$ be certain $1-$ parametric family of knots in $\mathbb{R}^3$. I am wandering what are the precise obstructions for a parametric Seifert surface to exist; i.e. a $1-$parametric family of orie …
- 325