On equivariant slice knots

Cha, Jae; Ko, Ki

doi:10.1090/S0002-9939-99-04868-6

On equivariant slice knots
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by Jae Choon Cha and Ki Hyoung Ko

Proc. Amer. Math. Soc. 127 (1999), 2175-2182

DOI: https://doi.org/10.1090/S0002-9939-99-04868-6

Published electronically: March 1, 1999

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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.

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