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Results tagged with knot-theory
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user 4625
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.
25
votes
Accepted
What would the slice-ribbon conjecture imply?
I think of the ribbon-slice conjecture as a wish that would simplify certain 4D questions. Let me explain this in 3 examples.
Given an embedded "ribbon disk" in 4-space (where the Morse function has …
- 1,696
12
votes
Accepted
slice-ribbon for links (surely it's wrong)
Ryan, I think this is an open problem. The best related result I know is a theorem of Casson and Gordon [A loop theorem for duality spaces and fibred ribbon knots. Invent. Math. 74 (1983)] saying that …
- 1,696