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Results tagged with knot-theory
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user 123309
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.
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Probabilistic knot theory
You might be interested in this paper "The closure of a random braid is a hyperbolic link" by Jiming Ma which introduced me to a probabilistic look at knots. caveat: paywall
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Connection Between Knot Theory and Number Theory
I recommend Chao Li/Charmaine Sia's notes for a brisk and illustrated overview of the ever-growing MKR dictionary detailed in Knots and Primes. The first three or so chapters of the source book is rat …
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Motivic knot embedding
I've been trying to be more diligent about reading motivic homotopy theory, and have been reading Levine's 'An Overview of Motivic Homotopy Theory.' I think the subject is fascinating, and I've develo …
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