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math.GT2026
The Farey tree and fibrations of the Whitehead link complement
Tali Pinsky
We show a curious connection between an example of dynamical forcing, where an existence of one periodic orbit for a dynamical system forces the existence of other periodic orbits,…
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 -plat…
math.GT2024
Tunnel number one knots satisfy the Berge Conjecture
Tao Li, Yoav Moriah, Tali Pinsky
Let be a tunnel number one knot in with irreducible knot exterior, where is either , or a connected sum of with any lens space. (In particular, thi…