A slicing obstruction from the $\frac {10}{8}$ theorem

dc.contributor.author	Vafaee, Faramarz
dc.contributor.author	Donald, Andrew
dc.date.accessioned	2018-09-02T17:16:57Z
dc.date.available	2018-09-02T17:16:57Z
dc.date.issued	2016-08-29
dc.identifier.issn	0002-9939
dc.identifier.issn	1088-6826
dc.identifier.uri	https://hdl.handle.net/10161/17368
dc.description.abstract	© 2016 American Mathematical Society. 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.
dc.language	English
dc.publisher	AMER MATHEMATICAL SOC
dc.relation.ispartof	Proceedings of the American Mathematical Society
dc.relation.isversionof	10.1090/proc/13056
dc.subject	Science & Technology
dc.subject	Physical Sciences
dc.subject	Mathematics, Applied
dc.subject	Mathematics
dc.subject	HOLOMORPHIC DISKS
dc.subject	FLOER HOMOLOGY
dc.subject	INVARIANTS
dc.subject	3-MANIFOLDS
dc.subject	KNOTS
dc.title	A slicing obstruction from the $\frac {10}{8}$ theorem
dc.type	Journal article
dc.date.updated	2018-09-02T17:16:55Z
pubs.begin-page	5397
pubs.end-page	5405
pubs.issue	12
pubs.organisational-group	Trinity College of Arts & Sciences
pubs.organisational-group	Duke
pubs.organisational-group	Mathematics
pubs.publication-status	Published
pubs.volume	144