On equivariant slice knots-Reference-Cited by-同舟云学术

On equivariant slice knots

Published:1999-03-01 Issue:7 Volume:127 Page:2175-2182
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cha Jae,Ko Ki

Abstract

We suggest a method to detect that two periodic knots are not equivariantly concordant, using surgery on factor links. We construct examples which satisfy all known necessary conditions for equivariant slice knots— Naik’s and Choi-Ko-Song’s improvements of classical results on Seifert forms and Casson-Gordon invariants of slice knots — but are not equivariantly slice.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-07/S0002-9939-99-04868-6/S0002-9939-99-04868-6.pdf

Reference14 articles.

1. A. Casson and C. Gordon, Cobordism of classical knots, “A la recherche de la Topologie perdue", ed. by Guillou and Marin, Progress in Mathematics, Volume 62, 1986.

2. On slice knots in dimension three;Casson, A. J.,1978

3. J. Cha. Signatures of links in rational homology spheres, preprint.

4. D. Choi, K. Ko and W. Song, Concordance of periodic knots, preprint.

5. The universal abelian cover of a link;Cooper, D.,1982

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Equivariantly slicing strongly negative amphichiral knots;Algebraic & Geometric Topology;2024-04-12

2. Slice knots and knot concordance;Winter Braids Lecture Notes;2024-01-19

3. Equivariant knots and knot Floer homology;Journal of Topology;2023-09

4. Equivariant 4‐genera of strongly invertible and periodic knots;Journal of Topology;2022-07-14

5. Equivariant cobordisms between freely periodic knots;Canadian Mathematical Bulletin;2022-06-22