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math.GT2004★ 8 cited
Knots with only two strict essential surfaces
Marc Culler, Peter B Shalen
We consider irreducible 3-manifolds M that arise as knot complements in closed 3-manifolds and that contain at most two connected strict essential surfaces. The results in the pape…
math.GT2002
Characteristic subsurfaces and Dehn filling
Steven Boyer, Marc Culler, Peter B. Shalen +1
Let M be a compact, orientable, irreducible, atoroidal 3-manifold with boundary an incompressible torus. Techniques based on the characteristic submanifold theory are used to bound…