@Article{CMR-25-2, author = {Kawauchi, Akio}, title = {Rational-Slice Knots via Strongly Negative-Amphicheiral Knots}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {2}, pages = {177--192}, abstract = {
We show that certain satellite knots of every strongly negative-amphicheiral rational knot are rational-slice knots. This proof also shows that the 0-surgery manifold of a certain strongly negative amphicheiral knot such as the figure-eight knot bounds a compact oriented smooth 4-manifold homotopy equivalent to the 2-sphere such that a second homology class of the 4-manifold is represented by a smoothly embedded 2-sphere if and only if the modulo two reduction of it is zero.
}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19304}, url = {https://global-sci.com/article/81941/rational-slice-knots-via-strongly-negative-amphicheiral-knots} }