arXiv:1606.06491 Abstract | arXiv Analytics

arXiv:1606.06491 [math.GT]Abstract References Reviews Resources

Topologically slice knots that are not smoothly slice in any definite 4-manifold

Published 2016-06-21Version 1

We prove that there exist infinitely many topologically slice knots which cannot bound a smooth null-homologous disk in any definite 4-manifold. Furthermore, we show that we can take such knots so that they are linearly independent in the the knot concordance group.

Comments: 9 pages, 4 figures

Categories: math.GT

Subjects: 57M25, 57M27

Keywords: topologically slice knots, smoothly slice, knot concordance group, smooth null-homologous disk

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