A slicing obstruction from the $\frac {10}{8}$ theorem
| dc.contributor.author | Donald, A | |
| dc.contributor.author | Vafaee, F | |
| dc.date.accessioned | 2018-09-02T17:16:57Z | |
| dc.date.available | 2018-09-02T17:16:57Z | |
| dc.date.issued | 2016-08-29 | |
| dc.date.updated | 2018-09-02T17:16:55Z | |
| 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.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.uri | ||
| dc.language | English | |
| dc.publisher | American Mathematical Society (AMS) | |
| 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 | |
| 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 |
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