Simplifying branched covering surface-knots by an addition of 1-handles with chart loops
Geometric Topology
2018-05-09 v2
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.
Keywords
Cite
@article{arxiv.1707.07888,
title = {Simplifying branched covering surface-knots by an addition of 1-handles with chart loops},
author = {Inasa Nakamura},
journal= {arXiv preprint arXiv:1707.07888},
year = {2018}
}
Comments
26 pages, 15 figures, title changed, minor modifications, to appear in J. Knot Theory Ramifications