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

Loading...
Thumbnail Image

Date

2016-08-29

Journal Title

Journal ISSN

Volume Title

Repository Usage Stats

147
views
76
downloads

Citation Stats

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.

Department

Description

Provenance

Citation

Published Version (Please cite this version)

10.1090/proc/13056

Publication Info

Donald, A, and F Vafaee (2016). A slicing obstruction from the $\frac {10}{8}$ theorem. Proceedings of the American Mathematical Society, 144(12). pp. 5397–5405. 10.1090/proc/13056 Retrieved from https://hdl.handle.net/10161/17368.

This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.


Unless otherwise indicated, scholarly articles published by Duke faculty members are made available here with a CC-BY-NC (Creative Commons Attribution Non-Commercial) license, as enabled by the Duke Open Access Policy. If you wish to use the materials in ways not already permitted under CC-BY-NC, please consult the copyright owner. Other materials are made available here through the author’s grant of a non-exclusive license to make their work openly accessible.