A slicing obstruction from the 10/8 theorem
Geometric Topology
2018-01-16 v2
Abstract
From Furuta's theorem, we derive a smooth slicing obstruction for knots in using a spin -manifold whose boundary is -surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice.
Keywords
Cite
@article{arxiv.1508.07047,
title = {A slicing obstruction from the 10/8 theorem},
author = {Andrew Donald and Faramarz Vafaee},
journal= {arXiv preprint arXiv:1508.07047},
year = {2018}
}
Comments
8 pages, 5 figures, v2: minor revisions throughout, Proc. Amer. Math. Soc. (2016)