A slicing obstruction from the 10/8 theorem

Published

Journal Article

© 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.

Full Text

Cited Authors

  • Donald, A; Vafaee, F

Published Date

  • January 1, 2016

Published In

Volume / Issue

  • 144 / 12

Start / End Page

  • 5397 - 5405

Electronic International Standard Serial Number (EISSN)

  • 1088-6826

International Standard Serial Number (ISSN)

  • 0002-9939

Digital Object Identifier (DOI)

  • 10.1090/proc/13056

Citation Source

  • Scopus