Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers
Geometric Topology
2009-09-29 v1 Quantum Algebra
Abstract
We prove that a crossing change along a double point circle on a 2-knot is realized by ribbon-moves for a knotted torus obtained from the 2-knot by attaching a 1-handle. It follows that any 2-knots for which the crossing change is an unknotting operation, such as ribbon 2-knots and twist-spun knots, have trivial Khovanov-Jacobsson number.
Keywords
Cite
@article{arxiv.math/0407493,
title = {Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers},
author = {J. Scott Carter and Masahico Saito and Shin Satoh},
journal= {arXiv preprint arXiv:math/0407493},
year = {2009}
}
Comments
Short paper: 5 pages, 4 Figures