Abstract
We prove that there exist infinitely many topologically slice knots which cannot bound a smooth null-homologous disk in any definite –manifold. Furthermore, we show that we can take such knots so that they are linearly independent in the knot concordance group.
Citation
Kouki Sato. "Topologically slice knots that are not smoothly slice in any definite $4$–manifold." Algebr. Geom. Topol. 18 (2) 827 - 837, 2018. https://doi.org/10.2140/agt.2018.18.827
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