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FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS

FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS

It is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct one. Two similar results are obtained with added boundary conditions. Namely, given a link-manifold M, a component B of ∂M, and …