A slicing obstruction from the 10/8 theorem

Andrew Donald; Faramarz Vafaee

doi:10.1090/proc/13056

A slicing obstruction from the 10/8 theorem

Andrew Donald^*
, Faramarz Vafaee

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (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 language	English
Pages (from-to)	5397-5405
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	12
DOIs	https://doi.org/10.1090/proc/13056
Publication status	Published - 2016

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title = "A slicing obstruction from the 10/8 theorem",

abstract = "From Furuta{\textquoteright}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.",

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AU - Donald, Andrew

AU - Vafaee, Faramarz

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84992343730

U2 - 10.1090/proc/13056

DO - 10.1090/proc/13056

M3 - Article (Academic Journal)

AN - SCOPUS:84992343730

SN - 0002-9939

VL - 144

SP - 5397

EP - 5405

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

A slicing obstruction from the 10/8 theorem

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