| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661449 | Topology and its Applications | 2007 | 8 Pages |
Abstract
A surface-knot is an embedded closed connected oriented surface in 4-space. A surface diagram is a projection of a surface-knot into 3-space with crossing information. In this paper we define a distance from a special surface diagram to a trivial diagram as the minimal number of special double cycles, where we can change the crossing information to obtain the trivial diagram. We estimate the distance using the number of 1-handles needed to obtain a trivial diagram.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
