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.
|Number of pages||8|
|Journal||Topology and its Applications|
|Issue number||7 SPEC. ISS.|
|Publication status||Published - Apr 1 2007|
- Trivial surface
ASJC Scopus subject areas
- Geometry and Topology