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Results tagged with knot-theory
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user 140013
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.
6
votes
1
answer
365
views
Different flavours of Vassiliev Conjecture
There is something that puzzles me about "Vassiliev's Conjecture". I am sure I am missing some detail which is obvious to the community, since there are several tightly related kind of results around …
- 2,152
5
votes
1
answer
342
views
Thurston universe gates in knots: which invariant is it?
Today I discovered this nice video of a lecture by Thurston:
https://youtu.be/daplYX6Oshc
in which he explains how a knot can be turned into a "fabric for universes". For example, the unknot can be th …
- 2,152
1
vote
Probabilistic knot theory
There could be a very hands-down, but still general, approach to this problem, that to a certain extent permits to calculate the distribution of some invariants.
Consider the configuration space of n …
- 2,152
0
votes
0
answers
108
views
Name for homotopy totalization of Goodwillie tower (in embedding calculus)
Let $M,N$ be a manifold and consider the presheaf of spaces $\textrm{Emb}(-, N)$ on the open sets of $M$. Classical embedding calculus produces a goodwillie tower
$$ \ldots \rightarrow T_{k+1} \textrm …
- 2,152