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…