Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers

Details Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers

2004-07-28

arxiv.org/abs/math/0407493v1

Mathematics

Geometric Topology

Short paper: 5 pages, 4 Figures

Scientific paper

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.

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