@Article{CMR-25-177, author = {Kawauchi and Akio and and 16809 and and Kawauchi Akio}, title = {Rational-Slice Knots via Strongly Negative-Amphicheiral Knots}, journal = {Communications in Mathematical Research }, year = {2021}, 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/}, url = {http://global-sci.org/intro/article_detail/cmr/19304.html} }