| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660538 | Topology and its Applications | 2010 | 9 Pages |
Abstract
The crosscap number of a knot in the 3-sphere is defined as the minimal first Betti number of non-orientable surfaces bounded by the knot. In this paper, we determine the crosscap numbers of a large class of pretzel knots. The key ingredient to obtain the result is the algorithm of enumerating all essential surfaces for Montesinos knots developed by Hatcher and Oertel.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
