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Correction to "Toroidal and Klein bottle boundary slopes"
Luis G. Valdez-Sanchez
Let M be a compact, connected, orientable, irreducible 3-manifold and T an incompressible torus boundary component of M such that the pair (M,T) is not cabled. In the paper "Toroid…
Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one
Luis G. Valdez-Sanchez, Enrique Ramirez-Losada
A knot in S^3 is said to have crosscap number two if it bounds a once-punctured Klein bottle but not a Moebius band. In this paper we give a method of constructing crosscap number…
Toroidal and Klein bottle boundary slopes
Luis G. Valdez-Sanchez
Let M be a compact, connected, orientable, irreducible 3-manifold and T' an incompressible torus boundary component of M such that the pair (M,T') is not cabled. By a result of C.…
Seifert Klein bottles for knots with common boundary slopes
Luis G. Valdez-Sanchez
We consider the question of how many essential Seifert Klein bottles with common boundary slope a knot in S^3 can bound, up to ambient isotopy. We prove that any hyperbolic knot in…