36 citations · 177 across the 35 of their papers we have counts for
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math.GT2008★ 1 cited
Recognizing trace graphs of closed braids
T. Fiedler, V. Kurlin
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by…
math.GT2008★ 36 cited
All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron
Cherry Kearton, Vitaliy Kurlin
The hexabasic book is the cone of the 1-dimensional skeleton of the union of two tetrahedra glued along a common face. The universal 3-dimensional polyhedron UP is the product of a…