Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one
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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 two hyperbolic (1,2)-knots with tunnel number one which are neither 2-bridge nor (1,1)-knots. An explicit infinite family of such knots is discussed in detail.
31 pages, 11 figures. To appear in Topology and its Applications (2008)
31 pages, 11 figures. To appear in Topology and its Applications (2008)