TY - JOUR
T1 - Rational-Slice Knots via Strongly Negative-Amphicheiral Knots
AU - Akio , Kawauchi
JO - Communications in Mathematical Research 
VL - 2
SP - 177
EP - 192
PY - 2021
DA - 2021/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19304.html
KW - rational-slice knot, strongly negative-amphicheiral knot, 0-surgery, rational cobordism, 4-manifold.
AB - <p style="text-align: justify;">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.</p>