We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Simplifying branched covering surface-knots by an addition of 1-handles with chart loops.
- Authors
Nakamura, Inasa
- Abstract
A branched covering surface-knot over an oriented surface-knot is a surface-knot in the form of a branched covering over . A branched covering surface-knot over is presented by a graph called a chart on a surface diagram of . For a branched covering surface-knot, an addition of 1-handles equipped with chart loops is a simplifying operation which deforms the chart to the form of the union of free edges and 1-handles with chart loops. We investigate properties of such simplifications.
- Subjects
GRAPH theory; GEOMETRIC surfaces; KNOT theory; HANDLEBODIES; PATHS &; cycles in graph theory
- Publication
Journal of Knot Theory & Its Ramifications, 2018, Vol 27, Issue 5, p-1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216518500311