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Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers |
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| Authors: | J. Scott Carter Masahico Saito Shin Satoh |
| Affiliation: | Department of Mathematics, University of South Alabama, Mobile, Alabama 36688 ; Department of Mathematics, University of South Florida, Tampa, Florida 33620 ; Graduate School of Science and Technology, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba, 263-8522, Japan |
| Abstract: | We prove that a crossing change along a double point circle on a  -knot is realized by ribbon-moves for a knotted torus obtained from the  -knot by attaching a  -handle. It follows that any  -knots for which the crossing change is an unknotting operation, such as ribbon  -knots and twist-spun knots, have trivial Khovanov-Jacobsson number. |
| Keywords: | Khovanov homology 2-knot ribbon-move twist-spun knot crossing change. |
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