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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.GT2002
On the image of the Lawrence-Krammer representation
Ryan Budney
A non-singular sesquilinear form is constructed that is preserved by the Lawrence-Krammer representation. It is shown that if the polynomial variables q and t of the Lawrence-Kramm…