Linear independence of rationally slice knots

Jennifer Hom; Sungkyung Kang; JungHwan Park; Matthew Stoffregen

doi:10.2140/gt.2022.26.3143

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arXiv · 2011.07659

Linear independence of rationally slice knots

Jennifer Hom·Sungkyung Kang·JungHwan Park·Matthew Stoffregen

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Abstract

A knot in $S^3$ is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two.

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BibTeX RIS

Jennifer Hom, Sungkyung Kang, JungHwan Park, Matthew Stoffregen. 2020-11-15. Linear independence of rationally slice knots. https://doi.org/10.2140/gt.2022.26.3143

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