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math.GT1998
Four observations on n-triviality and Brunnian links
Theodore B. Stanford
Brunnian links have been known for a long time in knot theory, whereas the idea of n-triviality is a recent innovation. We illustrate the relationship between the two concepts with…
math.GT1998
Vassiliev invariants and knots modulo pure braid subgroups
Theodore B. Stanford
We show that two knots have matching Vassiliev invariants of order less than n if and only if they are equivalent modulo the nth group of the lower central series of some pure brai…