arXiv Open Access 2023

Topologically and rationally slice knots

Jennifer Hom Sungkyung Kang JungHwan Park

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Abstrak

A knot in $S^3$ is topologically slice if it bounds a locally flat disk in $B^4$. A knot in $S^3$ is rationally slice if it bounds a smooth disk in a rational homology ball. We prove that the smooth concordance group of topologically and rationally slice knots admits a $\mathbb{Z}^\infty$ subgroup. All previously known examples of knots that are both topologically and rationally slice were of order two. As a direct consequence, it follows that there are infinitely many topologically slice knots that are strongly rationally slice but not slice.

Topik & Kata Kunci

math.GT

Penulis (3)

Jennifer Hom

Sungkyung Kang

JungHwan Park

Format Sitasi

APA MLA BibTeX

Hom, J., Kang, S., Park, J. (2023). Topologically and rationally slice knots. https://arxiv.org/abs/2304.06265

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓