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math.GT1999
Perturbative 3-manifold invariants by cut-and-paste topology
Greg Kuperberg, Dylan P. Thurston
We give a purely topological definition of the perturbative quantum invariants of links and 3-manifolds associated with Chern-Simons field theory. Our definition is as close as pos…
math.GT1997
Quadrisecants of knots and links
Greg Kuperberg
We show that every non-trivial tame knot or link in R^3 has a quadrisecant, i.e. four collinear points. The quadrisecant must be topologically non-trivial in a precise sense. As an…