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math.GT2008★ 1 cited
Thin position and planar surfaces for graphs in the 3-sphere
Tao Li
We show that given a trivalent graph in , either the graph complement contains an essential almost meridional planar surface or thin position for the graph is also bridge posi…
math.GT2008★ 11 cited
On the Colored Jones Polynomial, Sutured Floer homology, and Knot Floer homology
J. Elisenda Grigsby, Stephan Wehrli
Let K in S^3 be a knot, and let \widetilde{K} denote the preimage of K inside its double branched cover, Σ(K). We prove, for each integer n > 1, the existence of a spectral sequenc…