5 citations · 5 across the 1 of their papers we have counts for
3 papers
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.AT2000
A one-dimensional embedding complex
Kevin P. Scannell, Dev P. Sinha
We give the first explicit computations of rational homotopy groups of spaces of "long knots" in Euclidean spaces. We define a spectral sequence which converges to these rational h…
math.DG1998
The grafting map of Teichmuller space
Kevin P. Scannell, Michael Wolf
Grafting is a method of obtaining new projective structures from a hyperbolic structure, basically by gluing a flat cylinder into a surface along a closed geodesic in the hyperboli…