Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425927 | Advances in Mathematics | 2012 | 27 Pages |
Abstract
Let CT be the subgroup of the smooth knot concordance group generated by topologically slice knots and let CÎ be the subgroup generated by knots with trivial Alexander polynomial. We prove that CT/CÎ is infinitely generated. Our methods reveal a similar structure in the 3-dimensional rational spin bordism group, and lead to the construction of links that are topologically, but not smoothly, concordant to boundary links.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Matthew Hedden, Charles Livingston, Daniel Ruberman,