Knot signature functions are independent
| dc.creator | Cha, Jae Choon | |
| dc.creator | Livingston, Charles | |
| dc.date | 2002-08-28 | |
| dc.date | 2003-01-26 | |
| dc.date.accessioned | 2026-07-07T06:22:17Z | |
| dc.date.available | 2026-07-07T06:22:17Z | |
| dc.description | To each unit complex number with positive imaginary part there is defined a Tristram-Levine knot signature function. The set of all such signature functions is linearly independent as a set of functions defined on the set of all knots. The set of averaged signature functions forms a linearly independent set of homomorophisms on the knot concordance group. However, for each unit root of an Alexander polynomial, there is a slice knot with nonvanishing signature at that root and its conjugate, and nowhere else. These results hold for knots in all odd dimension. | |
| dc.description | 8 pages. Revision includes applications to knot concordance | |
| dc.identifier | https://arxiv.org/abs/math/0208225 | |
| dc.identifier | http://arxiv.org/abs/math/0208225 | |
| dc.identifier | Proc. Amer. Math. Soc. 132 (2004) 2809-2816. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95866 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 11e39 | |
| dc.title | Knot signature functions are independent | |
| dc.type | text |