51 citations · 129 across the 24 of their papers we have counts for
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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…
Highly twisted diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links that admit a 3-highly twisted irreducible diagram with more than two twist regions are hyperbolic. This should be compared with a result of Futer-…
Highly twisted plat diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links in the infinite set of -highly twisted -plats, with , are all hyperbolic. This should be compared with a result of Futer-Purcell…
Nielsen Equivalence in Fuchsian groups
Martin Lustig, Yoav Moriah
In this paper we give a complete classification of minimal generating systems in a very general class of Fuchsian groups G. This class includes for example any G which has at least…
Diagram uniqueness of even plats
Yoav Moriah, Jessica S. Purcell
Every knot has a plat projection, obtained by closing up a braid with bridges. The plat projection is determined by the number of strands and the number of rows of twist regions in…
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…