Knot Concordance and Torsion
| dc.creator | Livingston, Charles | |
| dc.creator | Naik, Swatee | |
| dc.date | 1999-11-30 | |
| dc.date.accessioned | 2026-07-07T08:19:47Z | |
| dc.date.available | 2026-07-07T08:19:47Z | |
| dc.description | Let K be a knot in the 3-sphere with 2-fold branched covering space M. If for some prime p congruent to 3 mod 4 the p-torsion in the first homology of M is cyclic with odd exponent, then K is of infinite order in the knot concordance group. As one application, recall that the n-twisted double of an arbitrary knot has order 4 in Levine's algebraic concordance group if and only if n is positive and some prime congruent to 3 mod 4 has odd exponent in 4n+1; we show that all such knots are of infinite order in the knot concordance group. As a second application, the 2-bridge knot K(r,s) has infinite order in the knot concordance group if some prime congruent to 3 mod 4 has odd exponent in r. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911241 | |
| dc.identifier | http://arxiv.org/abs/math/9911241 | |
| dc.identifier | Asian Journal of Mathematics 5 (2001), 161--168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134885 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57N70 | |
| dc.title | Knot Concordance and Torsion | |
| dc.type | text |