Article ID Journal Published Year Pages File Type
4660820 Topology and its Applications 2009 19 Pages PDF
Abstract

A knot in S3 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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology