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math.GT2005
Peripherally specified homomorphs of link groups
V. Kurlin, D. Lines
Johnson and Livingston have characterized peripheral structures in homomorphs of knot groups. We extend their approach to the case of links. The main result is an algebraic charact…
math.GT2004★ 1 cited
Compressed Drinfeld associators
V. Kurlin
Drinfeld associator is a key tool in computing the Kontsevich integral of knots. A Drinfeld associator is a series in two non-commuting variables, satisfying highly complicated alg…
math.GT2004
Three-page encoding and complexity theory for spatial graphs
V. Kurlin
We construct a series of finitely presented semigroups. The centers of these semigroups encode uniquely up to rigid ambient isotopy in 3-space all non-oriented spatial graphs. This…