Year: 2009
Author: Kawauchi Akio
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19304
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 177–192
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: rational-slice knot strongly negative-amphicheiral knot 0-surgery rational cobordism 4-manifold.