Unoriented band surgery on knots and links
Geometric Topology
2011-12-13 v1
Abstract
We consider a relation between two kinds of unknotting numbers defined by using a band surgery on unoriented knots; the band-unknotting number and H(2)-unknotting number, which we may characterize in terms of the first Betti number of surfaces in S^3 spanning the knot and the trivial knot. We also give several examples for these numbers.
Keywords
Cite
@article{arxiv.1112.2449,
title = {Unoriented band surgery on knots and links},
author = {Tetsuya Abe and Taizo Kanenobu},
journal= {arXiv preprint arXiv:1112.2449},
year = {2011}
}
Comments
22 pages