5 citations · 8 across the 3 of their papers we have counts for
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math.GT2003★ 5 cited
New perspectives on self-linking
Ryan Budney, James Conant, Kevin P. Scannell +1
We initiate the study of classical knots through the homotopy class of the n-th evaluation map of the knot, which is the induced map on the compactified n-point configuration space…
math.GT2001
On a theorem of Goussarov
Jim Conant
In this paper, the easier methods of my thesis are applied to give a simple proof of a theorem of Goussarov. The theorem relates two possible notions of finite type equivalence of…
math.GT1999
A knot bounding a grope of class n is n/2-trivial
James Conant
In this article it is proven that if a knot, K, bounds an imbedded grope of class n, then the knot is n/2-trivial in the sense of Gusarov and Stanford. That is, all type n/2 invari…