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Hom, Jennifer; Kang, Sungkyung; Park, JungHwan; Stoffregen, Matthew

Linear independence of rationally slice knots. (English) Zbl 1542.57003

Geom. Topol. 26, No. 7, 3143-3172 (2022).
Summary: 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.

Cited in 1 Review
Cited in 2 Documents

MSC:

57K10 Knot theory
57K18 Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.)

Keywords:

rationally slice knot; linear independence; involutive knot Floer homology
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Full Text: DOI arXiv

References:

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