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math.GT2006
Meridional surfaces and (1,1)-knots
Mario Eudave-Munoz, Enrique Ramirez-Losada
We determine all (1,1)-knots which admit an essential meridional surface, namely, we give a construction which produces (1,1)-knots having essential meridional surfaces, and show t…
math.GT2006
Acylindrical surfaces in 3-manifolds and knot complements
Mario Eudave-Munoz, Max Neumann-Coto
We consider closed acylindrical surfaces in 3-manifolds and in knot and link complements, and show that the genus of these surfaces is bounded linearly by the number of tetrahedra…