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Results tagged with knot-theory
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user 30684
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.
3
votes
Knots and Dynamics. Recent breakthroughs?
IF you are willing to extend into "braid theory and dynamics", there is quite a bit of activity in the field of "topological fluid mechanics" in last decade.
Some of this work is directed at determi …
- 2,281
5
votes
1
answer
268
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Do there exist any variational principles on the space of braids (or knots)?
This is very speculative question and I do not know where to start looking up the literature, or if what I am looking for is even mathematically possible/meaningful.
Q: I am interested in finding out …
- 2,281
8
votes
Tying knots via gravity-assisted spaceship trajectories
Yes, with some caveats. For an authoritative source, please see the monograph Koon et al. "Dynamical systems, the three-body problem and space mission design"
The short story is that with 2 or more l …
- 2,281