Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660820 | Topology and its Applications | 2009 | 19 Pages |
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