arXiv Open Access 2023

Special Alternating Knots are Band Prime

Joe Boninger Joshua Evan Greene

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Abstrak

We prove that a special alternating knot does not decompose as a non-trivial band sum. This restricts concordances from special alternating knots, and we conjecture that special alternating knots are ribbon concordance minimal. We verify our conjecture in many cases. This work is motivated by another conjecture of Owens and the second author, which posits that the set of alternating knots is downward closed under ribbon concordance.

Topik & Kata Kunci

math.GT

Penulis (2)

Joe Boninger

Joshua Evan Greene

Format Sitasi

APA MLA BibTeX

Boninger, J., Greene, J.E. (2023). Special Alternating Knots are Band Prime. https://arxiv.org/abs/2310.19648

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Informasi Jurnal

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