Luis G. Valdez-Sanchez, Enrique Ramirez-Losada
Published 2008-12-16Version 1
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.
Comments: 31 pages, 11 figures. To appear in Topology and its Applications (2008)
Projective structures on a hyperbolic 3-orbifold
Annuli in generalized Heegaard splittings and degeneration of tunnel number
Linking, twisting, writhing and helicity on the 3-sphere and in hyperbolic 3-space
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