A slicing obstruction from the 10/8 theorem

Andrew Donald*, Faramarz Vafaee

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)

Abstract

From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4-manifold whose boundary is 0-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.

Original languageEnglish
Pages (from-to)5397-5405
Number of pages9
JournalProceedings of the American Mathematical Society
Volume144
Issue number12
DOIs
Publication statusPublished - 2016

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