Y. Moriah

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math.GT2025

Rigidity of highly twisted plat diagrams

Nir Lazarovich, Yoav Moriah, Tali Pinsky +1

In this paper we prove that if a knot or link has a sufficiently complicated plat projection, then that plat projection is unique. More precisely, if a knot or link has a $2 m$ -plat…

math.GT2024

Tunnel number one knots satisfy the Berge Conjecture

Tao Li, Yoav Moriah, Tali Pinsky

Let $K$ be a tunnel number one knot in $M$ with irreducible knot exterior, where $M$ is either $S^{3}$ , or a connected sum of $S^{2} \times S^{1}$ with any lens space. (In particular, thi…